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Finding the Fourth Proportional to 157,729.12, 236,396.77 and 78,865.90

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Solution

The fourth proportional to 157,729.12, 236,396.77 and 78,865.90 is: 118,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,729.12 : 236,396.77 = 78,865.90 : x
  2. Step 2: Convert to fraction form
    157,729.12/236,396.77 = 78,865.90/x
  3. Step 3: Cross multiply
    157,729.12x = 236,396.77 × 78,865.90
  4. Step 4: Simplify right side
    157,729.12x = 18,643,644,023.14
  5. Step 5: Solve for x
    x = 18,643,644,023.14/157,729.12
  6. Step 6: Final answer
    x = 118,200.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.