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Finding the Fourth Proportional to 283,386.52, 425,145.36 and 96,398

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Solution

The fourth proportional to 283,386.52, 425,145.36 and 96,398 is: 144,619.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,386.52 : 425,145.36 = 96,398 : x
  2. Step 2: Convert to fraction form
    283,386.52/425,145.36 = 96,398/x
  3. Step 3: Cross multiply
    283,386.52x = 425,145.36 × 96,398
  4. Step 4: Simplify right side
    283,386.52x = 40,983,162,413.28
  5. Step 5: Solve for x
    x = 40,983,162,413.28/283,386.52
  6. Step 6: Final answer
    x = 144,619.31

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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.