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Finding the Fourth Proportional to 145,872.70, 218,809.05 and 52,387.90

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Solution

The fourth proportional to 145,872.70, 218,809.05 and 52,387.90 is: 78,581.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,872.70 : 218,809.05 = 52,387.90 : x
  2. Step 2: Convert to fraction form
    145,872.70/218,809.05 = 52,387.90/x
  3. Step 3: Cross multiply
    145,872.70x = 218,809.05 × 52,387.90
  4. Step 4: Simplify right side
    145,872.70x = 11,462,946,630.50
  5. Step 5: Solve for x
    x = 11,462,946,630.50/145,872.70
  6. Step 6: Final answer
    x = 78,581.85

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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.