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Finding the Fourth Proportional to 162,219.84, 243,310.56 and 49,899.84

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Solution

The fourth proportional to 162,219.84, 243,310.56 and 49,899.84 is: 74,843.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,219.84 : 243,310.56 = 49,899.84 : x
  2. Step 2: Convert to fraction form
    162,219.84/243,310.56 = 49,899.84/x
  3. Step 3: Cross multiply
    162,219.84x = 243,310.56 × 49,899.84
  4. Step 4: Simplify right side
    162,219.84x = 12,141,158,014.31
  5. Step 5: Solve for x
    x = 12,141,158,014.31/162,219.84
  6. Step 6: Final answer
    x = 74,843.85

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1.5x scale

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.