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Finding the Fourth Proportional to 145,851.20, 218,776.80 and 133,385.30

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Solution

The fourth proportional to 145,851.20, 218,776.80 and 133,385.30 is: 200,077.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,851.20 : 218,776.80 = 133,385.30 : x
  2. Step 2: Convert to fraction form
    145,851.20/218,776.80 = 133,385.30/x
  3. Step 3: Cross multiply
    145,851.20x = 218,776.80 × 133,385.30
  4. Step 4: Simplify right side
    145,851.20x = 29,181,609,101.04
  5. Step 5: Solve for x
    x = 29,181,609,101.04/145,851.20
  6. Step 6: Final answer
    x = 200,077.95

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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.