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Finding the Fourth Proportional to 102,452.34, 141,398.10 and 60,027.78

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Solution

The fourth proportional to 102,452.34, 141,398.10 and 60,027.78 is: 82,846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,452.34 : 141,398.10 = 60,027.78 : x
  2. Step 2: Convert to fraction form
    102,452.34/141,398.10 = 60,027.78/x
  3. Step 3: Cross multiply
    102,452.34x = 141,398.10 × 60,027.78
  4. Step 4: Simplify right side
    102,452.34x = 8,487,814,039.22
  5. Step 5: Solve for x
    x = 8,487,814,039.22/102,452.34
  6. Step 6: Final answer
    x = 82,846.46

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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.