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Finding the Fourth Proportional to 150,495.96, 207,686.76 and 82,519.14

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Solution

The fourth proportional to 150,495.96, 207,686.76 and 82,519.14 is: 113,877.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,495.96 : 207,686.76 = 82,519.14 : x
  2. Step 2: Convert to fraction form
    150,495.96/207,686.76 = 82,519.14/x
  3. Step 3: Cross multiply
    150,495.96x = 207,686.76 × 82,519.14
  4. Step 4: Simplify right side
    150,495.96x = 17,138,132,824.59
  5. Step 5: Solve for x
    x = 17,138,132,824.59/150,495.96
  6. Step 6: Final answer
    x = 113,877.69

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1.5x scale

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.