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Finding the Fourth Proportional to 311,102.46, 466,549.88 and 121,513.64

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Solution

The fourth proportional to 311,102.46, 466,549.88 and 121,513.64 is: 182,229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,102.46 : 466,549.88 = 121,513.64 : x
  2. Step 2: Convert to fraction form
    311,102.46/466,549.88 = 121,513.64/x
  3. Step 3: Cross multiply
    311,102.46x = 466,549.88 × 121,513.64
  4. Step 4: Simplify right side
    311,102.46x = 56,692,175,630.52
  5. Step 5: Solve for x
    x = 56,692,175,630.52/311,102.46
  6. Step 6: Final answer
    x = 182,229.92

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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.