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Finding the Fourth Proportional to 137,423.68, 206,125.44 and 43,904.32

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Solution

The fourth proportional to 137,423.68, 206,125.44 and 43,904.32 is: 65,853.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,423.68 : 206,125.44 = 43,904.32 : x
  2. Step 2: Convert to fraction form
    137,423.68/206,125.44 = 43,904.32/x
  3. Step 3: Cross multiply
    137,423.68x = 206,125.44 × 43,904.32
  4. Step 4: Simplify right side
    137,423.68x = 9,049,797,277.90
  5. Step 5: Solve for x
    x = 9,049,797,277.90/137,423.68
  6. Step 6: Final answer
    x = 65,853.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.