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Finding the Fourth Proportional to 97,881.60, 146,822.40 and 82,135.20

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Solution

The fourth proportional to 97,881.60, 146,822.40 and 82,135.20 is: 123,202.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,881.60 : 146,822.40 = 82,135.20 : x
  2. Step 2: Convert to fraction form
    97,881.60/146,822.40 = 82,135.20/x
  3. Step 3: Cross multiply
    97,881.60x = 146,822.40 × 82,135.20
  4. Step 4: Simplify right side
    97,881.60x = 12,059,287,188.48
  5. Step 5: Solve for x
    x = 12,059,287,188.48/97,881.60
  6. Step 6: Final answer
    x = 123,202.80

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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.