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Finding the Fourth Proportional to 158,390.83, 218,570.16 and 86,758.38

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Solution

The fourth proportional to 158,390.83, 218,570.16 and 86,758.38 is: 119,721.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,390.83 : 218,570.16 = 86,758.38 : x
  2. Step 2: Convert to fraction form
    158,390.83/218,570.16 = 86,758.38/x
  3. Step 3: Cross multiply
    158,390.83x = 218,570.16 × 86,758.38
  4. Step 4: Simplify right side
    158,390.83x = 18,962,792,997.94
  5. Step 5: Solve for x
    x = 18,962,792,997.94/158,390.83
  6. Step 6: Final answer
    x = 119,721.53

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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.