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Finding the Fourth Proportional to 129,456.28, 178,606.83 and 75,703.21

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Solution

The fourth proportional to 129,456.28, 178,606.83 and 75,703.21 is: 104,445.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,456.28 : 178,606.83 = 75,703.21 : x
  2. Step 2: Convert to fraction form
    129,456.28/178,606.83 = 75,703.21/x
  3. Step 3: Cross multiply
    129,456.28x = 178,606.83 × 75,703.21
  4. Step 4: Simplify right side
    129,456.28x = 13,521,110,358.92
  5. Step 5: Solve for x
    x = 13,521,110,358.92/129,456.28
  6. Step 6: Final answer
    x = 104,445.38

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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.