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Finding the Fourth Proportional to 135,220.48, 202,769.14 and 72,024.52

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Solution

The fourth proportional to 135,220.48, 202,769.14 and 72,024.52 is: 108,003.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,220.48 : 202,769.14 = 72,024.52 : x
  2. Step 2: Convert to fraction form
    135,220.48/202,769.14 = 72,024.52/x
  3. Step 3: Cross multiply
    135,220.48x = 202,769.14 × 72,024.52
  4. Step 4: Simplify right side
    135,220.48x = 14,604,349,979.31
  5. Step 5: Solve for x
    x = 14,604,349,979.31/135,220.48
  6. Step 6: Final answer
    x = 108,003.98

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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.