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Finding the Fourth Proportional to 283,753.74, 425,674.35 and 96,721.50

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Solution

The fourth proportional to 283,753.74, 425,674.35 and 96,721.50 is: 145,097.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,753.74 : 425,674.35 = 96,721.50 : x
  2. Step 2: Convert to fraction form
    283,753.74/425,674.35 = 96,721.50/x
  3. Step 3: Cross multiply
    283,753.74x = 425,674.35 × 96,721.50
  4. Step 4: Simplify right side
    283,753.74x = 41,171,861,643.53
  5. Step 5: Solve for x
    x = 41,171,861,643.53/283,753.74
  6. Step 6: Final answer
    x = 145,097.16

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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.