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Finding the Fourth Proportional to 142,354.24, 195,882.24 and 138,025.60

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Solution

The fourth proportional to 142,354.24, 195,882.24 and 138,025.60 is: 189,925.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,354.24 : 195,882.24 = 138,025.60 : x
  2. Step 2: Convert to fraction form
    142,354.24/195,882.24 = 138,025.60/x
  3. Step 3: Cross multiply
    142,354.24x = 195,882.24 × 138,025.60
  4. Step 4: Simplify right side
    142,354.24x = 27,036,763,705.34
  5. Step 5: Solve for x
    x = 27,036,763,705.34/142,354.24
  6. Step 6: Final answer
    x = 189,925.95

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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.