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Finding the Fourth Proportional to 313,180.96, 469,685.04 and 88,523.68

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Solution

The fourth proportional to 313,180.96, 469,685.04 and 88,523.68 is: 132,761.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,180.96 : 469,685.04 = 88,523.68 : x
  2. Step 2: Convert to fraction form
    313,180.96/469,685.04 = 88,523.68/x
  3. Step 3: Cross multiply
    313,180.96x = 469,685.04 × 88,523.68
  4. Step 4: Simplify right side
    313,180.96x = 41,578,248,181.75
  5. Step 5: Solve for x
    x = 41,578,248,181.75/313,180.96
  6. Step 6: Final answer
    x = 132,761.10

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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.