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Finding the Fourth Proportional to 201,844.60, 302,939.70 and 89,697.40

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Solution

The fourth proportional to 201,844.60, 302,939.70 and 89,697.40 is: 134,622.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,844.60 : 302,939.70 = 89,697.40 : x
  2. Step 2: Convert to fraction form
    201,844.60/302,939.70 = 89,697.40/x
  3. Step 3: Cross multiply
    201,844.60x = 302,939.70 × 89,697.40
  4. Step 4: Simplify right side
    201,844.60x = 27,172,903,446.78
  5. Step 5: Solve for x
    x = 27,172,903,446.78/201,844.60
  6. Step 6: Final answer
    x = 134,622.89

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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.