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Finding the Fourth Proportional to 201,502.56, 278,069.04 and 116,617.92

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Solution

The fourth proportional to 201,502.56, 278,069.04 and 116,617.92 is: 160,930.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,502.56 : 278,069.04 = 116,617.92 : x
  2. Step 2: Convert to fraction form
    201,502.56/278,069.04 = 116,617.92/x
  3. Step 3: Cross multiply
    201,502.56x = 278,069.04 × 116,617.92
  4. Step 4: Simplify right side
    201,502.56x = 32,427,833,061.20
  5. Step 5: Solve for x
    x = 32,427,833,061.20/201,502.56
  6. Step 6: Final answer
    x = 160,930.13

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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.