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Finding the Fourth Proportional to 100,425.30, 138,582.26 and 55,102.14

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Solution

The fourth proportional to 100,425.30, 138,582.26 and 55,102.14 is: 76,038.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,425.30 : 138,582.26 = 55,102.14 : x
  2. Step 2: Convert to fraction form
    100,425.30/138,582.26 = 55,102.14/x
  3. Step 3: Cross multiply
    100,425.30x = 138,582.26 × 55,102.14
  4. Step 4: Simplify right side
    100,425.30x = 7,636,179,092.04
  5. Step 5: Solve for x
    x = 7,636,179,092.04/100,425.30
  6. Step 6: Final answer
    x = 76,038.40

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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.