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Finding the Fourth Proportional to 129,008.16, 178,030.56 and 72,419.52

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Solution

The fourth proportional to 129,008.16, 178,030.56 and 72,419.52 is: 99,938.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,008.16 : 178,030.56 = 72,419.52 : x
  2. Step 2: Convert to fraction form
    129,008.16/178,030.56 = 72,419.52/x
  3. Step 3: Cross multiply
    129,008.16x = 178,030.56 × 72,419.52
  4. Step 4: Simplify right side
    129,008.16x = 12,892,887,700.53
  5. Step 5: Solve for x
    x = 12,892,887,700.53/129,008.16
  6. Step 6: Final answer
    x = 99,938.54

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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.