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Finding the Fourth Proportional to 201,584,956.60, 302,377,434.90 and 99,548,284.60

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Solution

The fourth proportional to 201,584,956.60, 302,377,434.90 and 99,548,284.60 is: 149,322,426.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,584,956.60 : 302,377,434.90 = 99,548,284.60 : x
  2. Step 2: Convert to fraction form
    201,584,956.60/302,377,434.90 = 99,548,284.60/x
  3. Step 3: Cross multiply
    201,584,956.60x = 302,377,434.90 × 99,548,284.60
  4. Step 4: Simplify right side
    201,584,956.60x = 30,101,154,946,043,168
  5. Step 5: Solve for x
    x = 30,101,154,946,043,168/201,584,956.60
  6. Step 6: Final answer
    x = 149,322,426.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.