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Finding the Fourth Proportional to 169,077, 233,325.84 and 97,456.44

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Solution

The fourth proportional to 169,077, 233,325.84 and 97,456.44 is: 134,489.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,077 : 233,325.84 = 97,456.44 : x
  2. Step 2: Convert to fraction form
    169,077/233,325.84 = 97,456.44/x
  3. Step 3: Cross multiply
    169,077x = 233,325.84 × 97,456.44
  4. Step 4: Simplify right side
    169,077x = 22,739,105,726.41
  5. Step 5: Solve for x
    x = 22,739,105,726.41/169,077
  6. Step 6: Final answer
    x = 134,489.65

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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.