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Finding the Fourth Proportional to 158,051.11, 218,110.40 and 86,431.11

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Solution

The fourth proportional to 158,051.11, 218,110.40 and 86,431.11 is: 119,274.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,051.11 : 218,110.40 = 86,431.11 : x
  2. Step 2: Convert to fraction form
    158,051.11/218,110.40 = 86,431.11/x
  3. Step 3: Cross multiply
    158,051.11x = 218,110.40 × 86,431.11
  4. Step 4: Simplify right side
    158,051.11x = 18,851,523,974.54
  5. Step 5: Solve for x
    x = 18,851,523,974.54/158,051.11
  6. Step 6: Final answer
    x = 119,274.86

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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.