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Finding the Fourth Proportional to 142,032.12, 212,974.02 and 42,178.56

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Solution

The fourth proportional to 142,032.12, 212,974.02 and 42,178.56 is: 63,245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,032.12 : 212,974.02 = 42,178.56 : x
  2. Step 2: Convert to fraction form
    142,032.12/212,974.02 = 42,178.56/x
  3. Step 3: Cross multiply
    142,032.12x = 212,974.02 × 42,178.56
  4. Step 4: Simplify right side
    142,032.12x = 8,982,937,481.01
  5. Step 5: Solve for x
    x = 8,982,937,481.01/142,032.12
  6. Step 6: Final answer
    x = 63,245.82

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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.