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Finding the Fourth Proportional to 113,294.54, 169,708.34 and 66,434.42

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Solution

The fourth proportional to 113,294.54, 169,708.34 and 66,434.42 is: 99,514.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,294.54 : 169,708.34 = 66,434.42 : x
  2. Step 2: Convert to fraction form
    113,294.54/169,708.34 = 66,434.42/x
  3. Step 3: Cross multiply
    113,294.54x = 169,708.34 × 66,434.42
  4. Step 4: Simplify right side
    113,294.54x = 11,274,475,137.06
  5. Step 5: Solve for x
    x = 11,274,475,137.06/113,294.54
  6. Step 6: Final answer
    x = 99,514.73

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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.