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Finding the Fourth Proportional to 162,568.86, 243,876.57 and 50,258.85

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Solution

The fourth proportional to 162,568.86, 243,876.57 and 50,258.85 is: 75,395.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,568.86 : 243,876.57 = 50,258.85 : x
  2. Step 2: Convert to fraction form
    162,568.86/243,876.57 = 50,258.85/x
  3. Step 3: Cross multiply
    162,568.86x = 243,876.57 × 50,258.85
  4. Step 4: Simplify right side
    162,568.86x = 12,256,955,950.14
  5. Step 5: Solve for x
    x = 12,256,955,950.14/162,568.86
  6. Step 6: Final answer
    x = 75,395.47

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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.