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Finding the Fourth Proportional to 169,367.52, 233,710.34 and 97,770.61

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Solution

The fourth proportional to 169,367.52, 233,710.34 and 97,770.61 is: 134,913.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,367.52 : 233,710.34 = 97,770.61 : x
  2. Step 2: Convert to fraction form
    169,367.52/233,710.34 = 97,770.61/x
  3. Step 3: Cross multiply
    169,367.52x = 233,710.34 × 97,770.61
  4. Step 4: Simplify right side
    169,367.52x = 22,850,001,431.98
  5. Step 5: Solve for x
    x = 22,850,001,431.98/169,367.52
  6. Step 6: Final answer
    x = 134,913.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.