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Finding the Fourth Proportional to 100,392.96, 138,545.28 and 55,680

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Solution

The fourth proportional to 100,392.96, 138,545.28 and 55,680 is: 76,840.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,392.96 : 138,545.28 = 55,680 : x
  2. Step 2: Convert to fraction form
    100,392.96/138,545.28 = 55,680/x
  3. Step 3: Cross multiply
    100,392.96x = 138,545.28 × 55,680
  4. Step 4: Simplify right side
    100,392.96x = 7,714,201,190.40
  5. Step 5: Solve for x
    x = 7,714,201,190.40/100,392.96
  6. Step 6: Final answer
    x = 76,840.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.