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Finding the Fourth Proportional to 283,610.32, 425,382.54 and 73,231.72

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Solution

The fourth proportional to 283,610.32, 425,382.54 and 73,231.72 is: 109,839.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,610.32 : 425,382.54 = 73,231.72 : x
  2. Step 2: Convert to fraction form
    283,610.32/425,382.54 = 73,231.72/x
  3. Step 3: Cross multiply
    283,610.32x = 425,382.54 × 73,231.72
  4. Step 4: Simplify right side
    283,610.32x = 31,151,495,062.17
  5. Step 5: Solve for x
    x = 31,151,495,062.17/283,610.32
  6. Step 6: Final answer
    x = 109,839.07

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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.