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Finding the Fourth Proportional to 144,006.50, 215,987.84 and 55,301.78

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Solution

The fourth proportional to 144,006.50, 215,987.84 and 55,301.78 is: 82,944.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,006.50 : 215,987.84 = 55,301.78 : x
  2. Step 2: Convert to fraction form
    144,006.50/215,987.84 = 55,301.78/x
  3. Step 3: Cross multiply
    144,006.50x = 215,987.84 × 55,301.78
  4. Step 4: Simplify right side
    144,006.50x = 11,944,512,010.36
  5. Step 5: Solve for x
    x = 11,944,512,010.36/144,006.50
  6. Step 6: Final answer
    x = 82,944.26

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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.