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Finding the Fourth Proportional to 283,718.17, 425,639.50 and 84,054.16

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Solution

The fourth proportional to 283,718.17, 425,639.50 and 84,054.16 is: 126,099.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,718.17 : 425,639.50 = 84,054.16 : x
  2. Step 2: Convert to fraction form
    283,718.17/425,639.50 = 84,054.16/x
  3. Step 3: Cross multiply
    283,718.17x = 425,639.50 × 84,054.16
  4. Step 4: Simplify right side
    283,718.17x = 35,776,770,635.32
  5. Step 5: Solve for x
    x = 35,776,770,635.32/283,718.17
  6. Step 6: Final answer
    x = 126,099.68

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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.