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Finding the Fourth Proportional to 97,712.70, 146,569.05 and 74,093.10

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Solution

The fourth proportional to 97,712.70, 146,569.05 and 74,093.10 is: 111,139.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,712.70 : 146,569.05 = 74,093.10 : x
  2. Step 2: Convert to fraction form
    97,712.70/146,569.05 = 74,093.10/x
  3. Step 3: Cross multiply
    97,712.70x = 146,569.05 × 74,093.10
  4. Step 4: Simplify right side
    97,712.70x = 10,859,755,278.56
  5. Step 5: Solve for x
    x = 10,859,755,278.56/97,712.70
  6. Step 6: Final answer
    x = 111,139.65

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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.