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Finding the Fourth Proportional to 142,534.54, 213,375.86 and 86,204.26

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Solution

The fourth proportional to 142,534.54, 213,375.86 and 86,204.26 is: 129,048.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,534.54 : 213,375.86 = 86,204.26 : x
  2. Step 2: Convert to fraction form
    142,534.54/213,375.86 = 86,204.26/x
  3. Step 3: Cross multiply
    142,534.54x = 213,375.86 × 86,204.26
  4. Step 4: Simplify right side
    142,534.54x = 18,393,908,113.16
  5. Step 5: Solve for x
    x = 18,393,908,113.16/142,534.54
  6. Step 6: Final answer
    x = 129,048.78

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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.