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Finding the Fourth Proportional to 176,709.70, 243,853.80 and 96,135.16

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Solution

The fourth proportional to 176,709.70, 243,853.80 and 96,135.16 is: 132,663.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,709.70 : 243,853.80 = 96,135.16 : x
  2. Step 2: Convert to fraction form
    176,709.70/243,853.80 = 96,135.16/x
  3. Step 3: Cross multiply
    176,709.70x = 243,853.80 × 96,135.16
  4. Step 4: Simplify right side
    176,709.70x = 23,442,924,079.61
  5. Step 5: Solve for x
    x = 23,442,924,079.61/176,709.70
  6. Step 6: Final answer
    x = 132,663.48

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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.