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Finding the Fourth Proportional to 259,693.48, 389,382.54 and 101,732.68

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Solution

The fourth proportional to 259,693.48, 389,382.54 and 101,732.68 is: 152,537.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,693.48 : 389,382.54 = 101,732.68 : x
  2. Step 2: Convert to fraction form
    259,693.48/389,382.54 = 101,732.68/x
  3. Step 3: Cross multiply
    259,693.48x = 389,382.54 × 101,732.68
  4. Step 4: Simplify right side
    259,693.48x = 39,612,929,339.41
  5. Step 5: Solve for x
    x = 39,612,929,339.41/259,693.48
  6. Step 6: Final answer
    x = 152,537.25

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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.