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Finding the Fourth Proportional to 251,906.80, 377,532.15 and 102,024.40

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Solution

The fourth proportional to 251,906.80, 377,532.15 and 102,024.40 is: 152,903.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,906.80 : 377,532.15 = 102,024.40 : x
  2. Step 2: Convert to fraction form
    251,906.80/377,532.15 = 102,024.40/x
  3. Step 3: Cross multiply
    251,906.80x = 377,532.15 × 102,024.40
  4. Step 4: Simplify right side
    251,906.80x = 38,517,491,084.46
  5. Step 5: Solve for x
    x = 38,517,491,084.46/251,906.80
  6. Step 6: Final answer
    x = 152,903.74

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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.