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Finding the Fourth Proportional to 158,090.33, 218,160.14 and 86,468.78

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Solution

The fourth proportional to 158,090.33, 218,160.14 and 86,468.78 is: 119,324.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,090.33 : 218,160.14 = 86,468.78 : x
  2. Step 2: Convert to fraction form
    158,090.33/218,160.14 = 86,468.78/x
  3. Step 3: Cross multiply
    158,090.33x = 218,160.14 × 86,468.78
  4. Step 4: Simplify right side
    158,090.33x = 18,864,041,263.49
  5. Step 5: Solve for x
    x = 18,864,041,263.49/158,090.33
  6. Step 6: Final answer
    x = 119,324.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.