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Finding the Fourth Proportional to 311,134, 466,701 and 89,518

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Solution

The fourth proportional to 311,134, 466,701 and 89,518 is: 134,277

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,134 : 466,701 = 89,518 : x
  2. Step 2: Convert to fraction form
    311,134/466,701 = 89,518/x
  3. Step 3: Cross multiply
    311,134x = 466,701 × 89,518
  4. Step 4: Simplify right side
    311,134x = 41,778,140,118
  5. Step 5: Solve for x
    x = 41,778,140,118/311,134
  6. Step 6: Final answer
    x = 134,277

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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.