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Finding the Fourth Proportional to 283,315.32, 425,019.16 and 83,655.92

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Solution

The fourth proportional to 283,315.32, 425,019.16 and 83,655.92 is: 125,497.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,315.32 : 425,019.16 = 83,655.92 : x
  2. Step 2: Convert to fraction form
    283,315.32/425,019.16 = 83,655.92/x
  3. Step 3: Cross multiply
    283,315.32x = 425,019.16 × 83,655.92
  4. Step 4: Simplify right side
    283,315.32x = 35,555,368,847.43
  5. Step 5: Solve for x
    x = 35,555,368,847.43/283,315.32
  6. Step 6: Final answer
    x = 125,497.52

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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.