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Finding the Fourth Proportional to 176,695.66, 243,839.82 and 96,123

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Solution

The fourth proportional to 176,695.66, 243,839.82 and 96,123 is: 132,649.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,695.66 : 243,839.82 = 96,123 : x
  2. Step 2: Convert to fraction form
    176,695.66/243,839.82 = 96,123/x
  3. Step 3: Cross multiply
    176,695.66x = 243,839.82 × 96,123
  4. Step 4: Simplify right side
    176,695.66x = 23,438,615,017.86
  5. Step 5: Solve for x
    x = 23,438,615,017.86/176,695.66
  6. Step 6: Final answer
    x = 132,649.64

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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.