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Finding the Fourth Proportional to 242,680.96, 364,022.25 and 74,200.65

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Solution

The fourth proportional to 242,680.96, 364,022.25 and 74,200.65 is: 111,301.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,680.96 : 364,022.25 = 74,200.65 : x
  2. Step 2: Convert to fraction form
    242,680.96/364,022.25 = 74,200.65/x
  3. Step 3: Cross multiply
    242,680.96x = 364,022.25 × 74,200.65
  4. Step 4: Simplify right side
    242,680.96x = 27,010,687,564.46
  5. Step 5: Solve for x
    x = 27,010,687,564.46/242,680.96
  6. Step 6: Final answer
    x = 111,301.22

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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.