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Finding the Fourth Proportional to 195,347.80, 292,821.82 and 132,174.59

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Solution

The fourth proportional to 195,347.80, 292,821.82 and 132,174.59 is: 198,126.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,347.80 : 292,821.82 = 132,174.59 : x
  2. Step 2: Convert to fraction form
    195,347.80/292,821.82 = 132,174.59/x
  3. Step 3: Cross multiply
    195,347.80x = 292,821.82 × 132,174.59
  4. Step 4: Simplify right side
    195,347.80x = 38,703,602,207.01
  5. Step 5: Solve for x
    x = 38,703,602,207.01/195,347.80
  6. Step 6: Final answer
    x = 198,126.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.