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Finding the Fourth Proportional to 129,346.38, 178,462.98 and 75,644.64

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Solution

The fourth proportional to 129,346.38, 178,462.98 and 75,644.64 is: 104,369.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,346.38 : 178,462.98 = 75,644.64 : x
  2. Step 2: Convert to fraction form
    129,346.38/178,462.98 = 75,644.64/x
  3. Step 3: Cross multiply
    129,346.38x = 178,462.98 × 75,644.64
  4. Step 4: Simplify right side
    129,346.38x = 13,499,767,875.43
  5. Step 5: Solve for x
    x = 13,499,767,875.43/129,346.38
  6. Step 6: Final answer
    x = 104,369.12

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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.