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Finding the Fourth Proportional to 158,602.98, 218,874.92 and 86,982.38

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Solution

The fourth proportional to 158,602.98, 218,874.92 and 86,982.38 is: 120,037.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,602.98 : 218,874.92 = 86,982.38 : x
  2. Step 2: Convert to fraction form
    158,602.98/218,874.92 = 86,982.38/x
  3. Step 3: Cross multiply
    158,602.98x = 218,874.92 × 86,982.38
  4. Step 4: Simplify right side
    158,602.98x = 19,038,261,463.91
  5. Step 5: Solve for x
    x = 19,038,261,463.91/158,602.98
  6. Step 6: Final answer
    x = 120,037.22

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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.