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Finding the Fourth Proportional to 174,478.34, 240,780.17 and 97,997.56

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Solution

The fourth proportional to 174,478.34, 240,780.17 and 97,997.56 is: 135,236.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,478.34 : 240,780.17 = 97,997.56 : x
  2. Step 2: Convert to fraction form
    174,478.34/240,780.17 = 97,997.56/x
  3. Step 3: Cross multiply
    174,478.34x = 240,780.17 × 97,997.56
  4. Step 4: Simplify right side
    174,478.34x = 23,595,868,799.43
  5. Step 5: Solve for x
    x = 23,595,868,799.43/174,478.34
  6. Step 6: Final answer
    x = 135,236.66

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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.