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Finding the Fourth Proportional to 144,520.70, 216,781.05 and 82,312.70

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Solution

The fourth proportional to 144,520.70, 216,781.05 and 82,312.70 is: 123,469.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,520.70 : 216,781.05 = 82,312.70 : x
  2. Step 2: Convert to fraction form
    144,520.70/216,781.05 = 82,312.70/x
  3. Step 3: Cross multiply
    144,520.70x = 216,781.05 × 82,312.70
  4. Step 4: Simplify right side
    144,520.70x = 17,843,833,534.34
  5. Step 5: Solve for x
    x = 17,843,833,534.34/144,520.70
  6. Step 6: Final answer
    x = 123,469.05

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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.