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Finding the Fourth Proportional to 102,132.20, 140,940.38 and 56,809.20

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Solution

The fourth proportional to 102,132.20, 140,940.38 and 56,809.20 is: 78,395.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,132.20 : 140,940.38 = 56,809.20 : x
  2. Step 2: Convert to fraction form
    102,132.20/140,940.38 = 56,809.20/x
  3. Step 3: Cross multiply
    102,132.20x = 140,940.38 × 56,809.20
  4. Step 4: Simplify right side
    102,132.20x = 8,006,710,235.50
  5. Step 5: Solve for x
    x = 8,006,710,235.50/102,132.20
  6. Step 6: Final answer
    x = 78,395.55

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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.