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Finding the Fourth Proportional to 100,147.24, 138,193.72 and 59,853

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Solution

The fourth proportional to 100,147.24, 138,193.72 and 59,853 is: 82,591.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,147.24 : 138,193.72 = 59,853 : x
  2. Step 2: Convert to fraction form
    100,147.24/138,193.72 = 59,853/x
  3. Step 3: Cross multiply
    100,147.24x = 138,193.72 × 59,853
  4. Step 4: Simplify right side
    100,147.24x = 8,271,308,723.16
  5. Step 5: Solve for x
    x = 8,271,308,723.16/100,147.24
  6. Step 6: Final answer
    x = 82,591.48

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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.