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Finding the Fourth Proportional to 100,220.64, 138,302.92 and 54,898.24

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Solution

The fourth proportional to 100,220.64, 138,302.92 and 54,898.24 is: 75,758.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,220.64 : 138,302.92 = 54,898.24 : x
  2. Step 2: Convert to fraction form
    100,220.64/138,302.92 = 54,898.24/x
  3. Step 3: Cross multiply
    100,220.64x = 138,302.92 × 54,898.24
  4. Step 4: Simplify right side
    100,220.64x = 7,592,586,894.86
  5. Step 5: Solve for x
    x = 7,592,586,894.86/100,220.64
  6. Step 6: Final answer
    x = 75,758.71

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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.