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Finding the Fourth Proportional to 142,415.60, 213,331.80 and 72,334.40

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Solution

The fourth proportional to 142,415.60, 213,331.80 and 72,334.40 is: 108,353.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,415.60 : 213,331.80 = 72,334.40 : x
  2. Step 2: Convert to fraction form
    142,415.60/213,331.80 = 72,334.40/x
  3. Step 3: Cross multiply
    142,415.60x = 213,331.80 × 72,334.40
  4. Step 4: Simplify right side
    142,415.60x = 15,431,227,753.92
  5. Step 5: Solve for x
    x = 15,431,227,753.92/142,415.60
  6. Step 6: Final answer
    x = 108,353.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.