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Finding the Fourth Proportional to 100,438.20, 138,598.47 and 55,107

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Solution

The fourth proportional to 100,438.20, 138,598.47 and 55,107 is: 76,044.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,438.20 : 138,598.47 = 55,107 : x
  2. Step 2: Convert to fraction form
    100,438.20/138,598.47 = 55,107/x
  3. Step 3: Cross multiply
    100,438.20x = 138,598.47 × 55,107
  4. Step 4: Simplify right side
    100,438.20x = 7,637,745,886.29
  5. Step 5: Solve for x
    x = 7,637,745,886.29/100,438.20
  6. Step 6: Final answer
    x = 76,044.23

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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.