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Finding the Fourth Proportional to 129,649, 178,911.14 and 73,057

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Solution

The fourth proportional to 129,649, 178,911.14 and 73,057 is: 100,816.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,649 : 178,911.14 = 73,057 : x
  2. Step 2: Convert to fraction form
    129,649/178,911.14 = 73,057/x
  3. Step 3: Cross multiply
    129,649x = 178,911.14 × 73,057
  4. Step 4: Simplify right side
    129,649x = 13,070,711,154.98
  5. Step 5: Solve for x
    x = 13,070,711,154.98/129,649
  6. Step 6: Final answer
    x = 100,816.14

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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.