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Finding the Fourth Proportional to 311,103.96, 466,552.14 and 121,515.15

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Solution

The fourth proportional to 311,103.96, 466,552.14 and 121,515.15 is: 182,232.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,103.96 : 466,552.14 = 121,515.15 : x
  2. Step 2: Convert to fraction form
    311,103.96/466,552.14 = 121,515.15/x
  3. Step 3: Cross multiply
    311,103.96x = 466,552.14 × 121,515.15
  4. Step 4: Simplify right side
    311,103.96x = 56,693,154,568.81
  5. Step 5: Solve for x
    x = 56,693,154,568.81/311,103.96
  6. Step 6: Final answer
    x = 182,232.19

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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.