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Finding the Fourth Proportional to 100,156.90, 138,216.14 and 57,136.31

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Solution

The fourth proportional to 100,156.90, 138,216.14 and 57,136.31 is: 78,847.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,156.90 : 138,216.14 = 57,136.31 : x
  2. Step 2: Convert to fraction form
    100,156.90/138,216.14 = 57,136.31/x
  3. Step 3: Cross multiply
    100,156.90x = 138,216.14 × 57,136.31
  4. Step 4: Simplify right side
    100,156.90x = 7,897,160,710.42
  5. Step 5: Solve for x
    x = 7,897,160,710.42/100,156.90
  6. Step 6: Final answer
    x = 78,847.90

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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.