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Finding the Fourth Proportional to 158,294.40, 218,446.29 and 86,678.82

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Solution

The fourth proportional to 158,294.40, 218,446.29 and 86,678.82 is: 119,616.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,294.40 : 218,446.29 = 86,678.82 : x
  2. Step 2: Convert to fraction form
    158,294.40/218,446.29 = 86,678.82/x
  3. Step 3: Cross multiply
    158,294.40x = 218,446.29 × 86,678.82
  4. Step 4: Simplify right side
    158,294.40x = 18,934,666,650.58
  5. Step 5: Solve for x
    x = 18,934,666,650.58/158,294.40
  6. Step 6: Final answer
    x = 119,616.78

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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.