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Finding the Fourth Proportional to 158,543.38, 218,784.02 and 86,921.82

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Solution

The fourth proportional to 158,543.38, 218,784.02 and 86,921.82 is: 119,948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,543.38 : 218,784.02 = 86,921.82 : x
  2. Step 2: Convert to fraction form
    158,543.38/218,784.02 = 86,921.82/x
  3. Step 3: Cross multiply
    158,543.38x = 218,784.02 × 86,921.82
  4. Step 4: Simplify right side
    158,543.38x = 19,017,105,205.32
  5. Step 5: Solve for x
    x = 19,017,105,205.32/158,543.38
  6. Step 6: Final answer
    x = 119,948.91

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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.