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Finding the Fourth Proportional to 232,767.50, 349,171.50 and 64,288.04

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Solution

The fourth proportional to 232,767.50, 349,171.50 and 64,288.04 is: 96,437.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,767.50 : 349,171.50 = 64,288.04 : x
  2. Step 2: Convert to fraction form
    232,767.50/349,171.50 = 64,288.04/x
  3. Step 3: Cross multiply
    232,767.50x = 349,171.50 × 64,288.04
  4. Step 4: Simplify right side
    232,767.50x = 22,447,551,358.86
  5. Step 5: Solve for x
    x = 22,447,551,358.86/232,767.50
  6. Step 6: Final answer
    x = 96,437.65

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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.