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Finding the Fourth Proportional to 232,655.76, 349,007.92 and 64,176.12

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Solution

The fourth proportional to 232,655.76, 349,007.92 and 64,176.12 is: 96,270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,655.76 : 349,007.92 = 64,176.12 : x
  2. Step 2: Convert to fraction form
    232,655.76/349,007.92 = 64,176.12/x
  3. Step 3: Cross multiply
    232,655.76x = 349,007.92 × 64,176.12
  4. Step 4: Simplify right side
    232,655.76x = 22,397,974,154.87
  5. Step 5: Solve for x
    x = 22,397,974,154.87/232,655.76
  6. Step 6: Final answer
    x = 96,270.88

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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.