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Finding the Fourth Proportional to 201,847.40, 302,406.60 and 117,538.55

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Solution

The fourth proportional to 201,847.40, 302,406.60 and 117,538.55 is: 176,095.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,847.40 : 302,406.60 = 117,538.55 : x
  2. Step 2: Convert to fraction form
    201,847.40/302,406.60 = 117,538.55/x
  3. Step 3: Cross multiply
    201,847.40x = 302,406.60 × 117,538.55
  4. Step 4: Simplify right side
    201,847.40x = 35,544,433,274.43
  5. Step 5: Solve for x
    x = 35,544,433,274.43/201,847.40
  6. Step 6: Final answer
    x = 176,095.57

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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.