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Finding the Fourth Proportional to 142,038.34, 213,057.22 and 82,832.52

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Solution

The fourth proportional to 142,038.34, 213,057.22 and 82,832.52 is: 124,248.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,038.34 : 213,057.22 = 82,832.52 : x
  2. Step 2: Convert to fraction form
    142,038.34/213,057.22 = 82,832.52/x
  3. Step 3: Cross multiply
    142,038.34x = 213,057.22 × 82,832.52
  4. Step 4: Simplify right side
    142,038.34x = 17,648,066,436.79
  5. Step 5: Solve for x
    x = 17,648,066,436.79/142,038.34
  6. Step 6: Final answer
    x = 124,248.61

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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.