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Finding the Fourth Proportional to 162,231.86, 243,348.34 and 49,911.32

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Solution

The fourth proportional to 162,231.86, 243,348.34 and 49,911.32 is: 74,867.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,231.86 : 243,348.34 = 49,911.32 : x
  2. Step 2: Convert to fraction form
    162,231.86/243,348.34 = 49,911.32/x
  3. Step 3: Cross multiply
    162,231.86x = 243,348.34 × 49,911.32
  4. Step 4: Simplify right side
    162,231.86x = 12,145,836,869.21
  5. Step 5: Solve for x
    x = 12,145,836,869.21/162,231.86
  6. Step 6: Final answer
    x = 74,867.15

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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.