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Finding the Fourth Proportional to 109,589.58, 151,233.51 and 61,853.10

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Solution

The fourth proportional to 109,589.58, 151,233.51 and 61,853.10 is: 85,357.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,589.58 : 151,233.51 = 61,853.10 : x
  2. Step 2: Convert to fraction form
    109,589.58/151,233.51 = 61,853.10/x
  3. Step 3: Cross multiply
    109,589.58x = 151,233.51 × 61,853.10
  4. Step 4: Simplify right side
    109,589.58x = 9,354,261,417.38
  5. Step 5: Solve for x
    x = 9,354,261,417.38/109,589.58
  6. Step 6: Final answer
    x = 85,357.22

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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.