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Finding the Fourth Proportional to 158,402.38, 218,595.46 and 86,786.98

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Solution

The fourth proportional to 158,402.38, 218,595.46 and 86,786.98 is: 119,766.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,402.38 : 218,595.46 = 86,786.98 : x
  2. Step 2: Convert to fraction form
    158,402.38/218,595.46 = 86,786.98/x
  3. Step 3: Cross multiply
    158,402.38x = 218,595.46 × 86,786.98
  4. Step 4: Simplify right side
    158,402.38x = 18,971,239,815.11
  5. Step 5: Solve for x
    x = 18,971,239,815.11/158,402.38
  6. Step 6: Final answer
    x = 119,766.13

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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.