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Finding the Fourth Proportional to 202,229.71, 279,101.69 and 116,188.50

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Solution

The fourth proportional to 202,229.71, 279,101.69 and 116,188.50 is: 160,354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,229.71 : 279,101.69 = 116,188.50 : x
  2. Step 2: Convert to fraction form
    202,229.71/279,101.69 = 116,188.50/x
  3. Step 3: Cross multiply
    202,229.71x = 279,101.69 × 116,188.50
  4. Step 4: Simplify right side
    202,229.71x = 32,428,406,708.57
  5. Step 5: Solve for x
    x = 32,428,406,708.57/202,229.71
  6. Step 6: Final answer
    x = 160,354.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.