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Finding the Fourth Proportional to 123,657.40, 185,486.10 and 106,744.60

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Solution

The fourth proportional to 123,657.40, 185,486.10 and 106,744.60 is: 160,116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,657.40 : 185,486.10 = 106,744.60 : x
  2. Step 2: Convert to fraction form
    123,657.40/185,486.10 = 106,744.60/x
  3. Step 3: Cross multiply
    123,657.40x = 185,486.10 × 106,744.60
  4. Step 4: Simplify right side
    123,657.40x = 19,799,639,550.06
  5. Step 5: Solve for x
    x = 19,799,639,550.06/123,657.40
  6. Step 6: Final answer
    x = 160,116.90

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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.