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Finding the Fourth Proportional to 102,932.48, 142,047.36 and 58,219.52

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Solution

The fourth proportional to 102,932.48, 142,047.36 and 58,219.52 is: 80,343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,932.48 : 142,047.36 = 58,219.52 : x
  2. Step 2: Convert to fraction form
    102,932.48/142,047.36 = 58,219.52/x
  3. Step 3: Cross multiply
    102,932.48x = 142,047.36 × 58,219.52
  4. Step 4: Simplify right side
    102,932.48x = 8,269,929,116.47
  5. Step 5: Solve for x
    x = 8,269,929,116.47/102,932.48
  6. Step 6: Final answer
    x = 80,343.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.