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Finding the Fourth Proportional to 150,478.96, 207,659.64 and 82,494.70

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Solution

The fourth proportional to 150,478.96, 207,659.64 and 82,494.70 is: 113,841.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,478.96 : 207,659.64 = 82,494.70 : x
  2. Step 2: Convert to fraction form
    150,478.96/207,659.64 = 82,494.70/x
  3. Step 3: Cross multiply
    150,478.96x = 207,659.64 × 82,494.70
  4. Step 4: Simplify right side
    150,478.96x = 17,130,819,703.91
  5. Step 5: Solve for x
    x = 17,130,819,703.91/150,478.96
  6. Step 6: Final answer
    x = 113,841.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.