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Finding the Fourth Proportional to 162,686.84, 243,939.71 and 50,335.17

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Solution

The fourth proportional to 162,686.84, 243,939.71 and 50,335.17 is: 75,474.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,686.84 : 243,939.71 = 50,335.17 : x
  2. Step 2: Convert to fraction form
    162,686.84/243,939.71 = 50,335.17/x
  3. Step 3: Cross multiply
    162,686.84x = 243,939.71 × 50,335.17
  4. Step 4: Simplify right side
    162,686.84x = 12,278,746,520.92
  5. Step 5: Solve for x
    x = 12,278,746,520.92/162,686.84
  6. Step 6: Final answer
    x = 75,474.74

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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.