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Finding the Fourth Proportional to 127,981.60, 192,118.20 and 75,420.70

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Solution

The fourth proportional to 127,981.60, 192,118.20 and 75,420.70 is: 113,216.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,981.60 : 192,118.20 = 75,420.70 : x
  2. Step 2: Convert to fraction form
    127,981.60/192,118.20 = 75,420.70/x
  3. Step 3: Cross multiply
    127,981.60x = 192,118.20 × 75,420.70
  4. Step 4: Simplify right side
    127,981.60x = 14,489,689,126.74
  5. Step 5: Solve for x
    x = 14,489,689,126.74/127,981.60
  6. Step 6: Final answer
    x = 113,216.97

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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.