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Finding the Fourth Proportional to 142,238.40, 213,422.40 and 67,329.60

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Solution

The fourth proportional to 142,238.40, 213,422.40 and 67,329.60 is: 101,025.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,238.40 : 213,422.40 = 67,329.60 : x
  2. Step 2: Convert to fraction form
    142,238.40/213,422.40 = 67,329.60/x
  3. Step 3: Cross multiply
    142,238.40x = 213,422.40 × 67,329.60
  4. Step 4: Simplify right side
    142,238.40x = 14,369,644,823.04
  5. Step 5: Solve for x
    x = 14,369,644,823.04/142,238.40
  6. Step 6: Final answer
    x = 101,025.07

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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.