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Finding the Fourth Proportional to 158,013.69, 218,059.38 and 86,394.90

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Solution

The fourth proportional to 158,013.69, 218,059.38 and 86,394.90 is: 119,225.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,013.69 : 218,059.38 = 86,394.90 : x
  2. Step 2: Convert to fraction form
    158,013.69/218,059.38 = 86,394.90/x
  3. Step 3: Cross multiply
    158,013.69x = 218,059.38 × 86,394.90
  4. Step 4: Simplify right side
    158,013.69x = 18,839,218,329.16
  5. Step 5: Solve for x
    x = 18,839,218,329.16/158,013.69
  6. Step 6: Final answer
    x = 119,225.23

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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.