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Finding the Fourth Proportional to 97,498.89, 146,022.35 and 71,138.25

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Solution

The fourth proportional to 97,498.89, 146,022.35 and 71,138.25 is: 106,542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,498.89 : 146,022.35 = 71,138.25 : x
  2. Step 2: Convert to fraction form
    97,498.89/146,022.35 = 71,138.25/x
  3. Step 3: Cross multiply
    97,498.89x = 146,022.35 × 71,138.25
  4. Step 4: Simplify right side
    97,498.89x = 10,387,774,084.20
  5. Step 5: Solve for x
    x = 10,387,774,084.20/97,498.89
  6. Step 6: Final answer
    x = 106,542.49

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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.