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Finding the Fourth Proportional to 252,061.92, 347,829.12 and 138,884.67

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Solution

The fourth proportional to 252,061.92, 347,829.12 and 138,884.67 is: 191,651.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,061.92 : 347,829.12 = 138,884.67 : x
  2. Step 2: Convert to fraction form
    252,061.92/347,829.12 = 138,884.67/x
  3. Step 3: Cross multiply
    252,061.92x = 347,829.12 × 138,884.67
  4. Step 4: Simplify right side
    252,061.92x = 48,308,132,547.59
  5. Step 5: Solve for x
    x = 48,308,132,547.59/252,061.92
  6. Step 6: Final answer
    x = 191,651.85

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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.