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Finding the Fourth Proportional to 283,694.76, 425,639.34 and 96,837.48

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Solution

The fourth proportional to 283,694.76, 425,639.34 and 96,837.48 is: 145,289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,694.76 : 425,639.34 = 96,837.48 : x
  2. Step 2: Convert to fraction form
    283,694.76/425,639.34 = 96,837.48/x
  3. Step 3: Cross multiply
    283,694.76x = 425,639.34 × 96,837.48
  4. Step 4: Simplify right side
    283,694.76x = 41,217,841,074.46
  5. Step 5: Solve for x
    x = 41,217,841,074.46/283,694.76
  6. Step 6: Final answer
    x = 145,289.40

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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.