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Finding the Fourth Proportional to 142,100.57, 213,154.50 and 67,255.76

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Solution

The fourth proportional to 142,100.57, 213,154.50 and 67,255.76 is: 100,885.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,100.57 : 213,154.50 = 67,255.76 : x
  2. Step 2: Convert to fraction form
    142,100.57/213,154.50 = 67,255.76/x
  3. Step 3: Cross multiply
    142,100.57x = 213,154.50 × 67,255.76
  4. Step 4: Simplify right side
    142,100.57x = 14,335,867,894.92
  5. Step 5: Solve for x
    x = 14,335,867,894.92/142,100.57
  6. Step 6: Final answer
    x = 100,885.37

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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.