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Finding the Fourth Proportional to 158,022.12, 218,069.02 and 86,401.38

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Solution

The fourth proportional to 158,022.12, 218,069.02 and 86,401.38 is: 119,233.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,022.12 : 218,069.02 = 86,401.38 : x
  2. Step 2: Convert to fraction form
    158,022.12/218,069.02 = 86,401.38/x
  3. Step 3: Cross multiply
    158,022.12x = 218,069.02 × 86,401.38
  4. Step 4: Simplify right side
    158,022.12x = 18,841,464,263.25
  5. Step 5: Solve for x
    x = 18,841,464,263.25/158,022.12
  6. Step 6: Final answer
    x = 119,233.08

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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.