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Finding the Fourth Proportional to 123,647.60, 185,665.80 and 71,159.60

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Solution

The fourth proportional to 123,647.60, 185,665.80 and 71,159.60 is: 106,851.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,647.60 : 185,665.80 = 71,159.60 : x
  2. Step 2: Convert to fraction form
    123,647.60/185,665.80 = 71,159.60/x
  3. Step 3: Cross multiply
    123,647.60x = 185,665.80 × 71,159.60
  4. Step 4: Simplify right side
    123,647.60x = 13,211,904,061.68
  5. Step 5: Solve for x
    x = 13,211,904,061.68/123,647.60
  6. Step 6: Final answer
    x = 106,851.28

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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.