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Finding the Fourth Proportional to 204,404.46, 306,643.68 and 84,461.55

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Solution

The fourth proportional to 204,404.46, 306,643.68 and 84,461.55 is: 126,707.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,404.46 : 306,643.68 = 84,461.55 : x
  2. Step 2: Convert to fraction form
    204,404.46/306,643.68 = 84,461.55/x
  3. Step 3: Cross multiply
    204,404.46x = 306,643.68 × 84,461.55
  4. Step 4: Simplify right side
    204,404.46x = 25,899,600,510.50
  5. Step 5: Solve for x
    x = 25,899,600,510.50/204,404.46
  6. Step 6: Final answer
    x = 126,707.61

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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.