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Finding the Fourth Proportional to 137,054.40, 205,614.32 and 43,560.32

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Solution

The fourth proportional to 137,054.40, 205,614.32 and 43,560.32 is: 65,350.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,054.40 : 205,614.32 = 43,560.32 : x
  2. Step 2: Convert to fraction form
    137,054.40/205,614.32 = 43,560.32/x
  3. Step 3: Cross multiply
    137,054.40x = 205,614.32 × 43,560.32
  4. Step 4: Simplify right side
    137,054.40x = 8,956,625,575.78
  5. Step 5: Solve for x
    x = 8,956,625,575.78/137,054.40
  6. Step 6: Final answer
    x = 65,350.88

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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.