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Finding the Fourth Proportional to 121,186.50, 181,780.65 and 42,300.80

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Solution

The fourth proportional to 121,186.50, 181,780.65 and 42,300.80 is: 63,451.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,186.50 : 181,780.65 = 42,300.80 : x
  2. Step 2: Convert to fraction form
    121,186.50/181,780.65 = 42,300.80/x
  3. Step 3: Cross multiply
    121,186.50x = 181,780.65 × 42,300.80
  4. Step 4: Simplify right side
    121,186.50x = 7,689,466,010.62
  5. Step 5: Solve for x
    x = 7,689,466,010.62/121,186.50
  6. Step 6: Final answer
    x = 63,451.51

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