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Finding the Fourth Proportional to 129,471.48, 178,648.38 and 119,007.45

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Solution

The fourth proportional to 129,471.48, 178,648.38 and 119,007.45 is: 164,209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,471.48 : 178,648.38 = 119,007.45 : x
  2. Step 2: Convert to fraction form
    129,471.48/178,648.38 = 119,007.45/x
  3. Step 3: Cross multiply
    129,471.48x = 178,648.38 × 119,007.45
  4. Step 4: Simplify right side
    129,471.48x = 21,260,488,150.43
  5. Step 5: Solve for x
    x = 21,260,488,150.43/129,471.48
  6. Step 6: Final answer
    x = 164,209.82

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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.