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Finding the Fourth Proportional to 308,200.35, 462,257.33 and 97,859.55

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Solution

The fourth proportional to 308,200.35, 462,257.33 and 97,859.55 is: 146,775.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,200.35 : 462,257.33 = 97,859.55 : x
  2. Step 2: Convert to fraction form
    308,200.35/462,257.33 = 97,859.55/x
  3. Step 3: Cross multiply
    308,200.35x = 462,257.33 × 97,859.55
  4. Step 4: Simplify right side
    308,200.35x = 45,236,293,808.70
  5. Step 5: Solve for x
    x = 45,236,293,808.70/308,200.35
  6. Step 6: Final answer
    x = 146,775.61

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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.