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Finding the Fourth Proportional to 81,202.60, 121,760.70 and 34,402.60

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Solution

The fourth proportional to 81,202.60, 121,760.70 and 34,402.60 is: 51,585.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,202.60 : 121,760.70 = 34,402.60 : x
  2. Step 2: Convert to fraction form
    81,202.60/121,760.70 = 34,402.60/x
  3. Step 3: Cross multiply
    81,202.60x = 121,760.70 × 34,402.60
  4. Step 4: Simplify right side
    81,202.60x = 4,188,884,657.82
  5. Step 5: Solve for x
    x = 4,188,884,657.82/81,202.60
  6. Step 6: Final answer
    x = 51,585.60

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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.