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Finding the Fourth Proportional to 159,494.86, 239,234.32 and 59,647.70

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Solution

The fourth proportional to 159,494.86, 239,234.32 and 59,647.70 is: 89,468.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,494.86 : 239,234.32 = 59,647.70 : x
  2. Step 2: Convert to fraction form
    159,494.86/239,234.32 = 59,647.70/x
  3. Step 3: Cross multiply
    159,494.86x = 239,234.32 × 59,647.70
  4. Step 4: Simplify right side
    159,494.86x = 14,269,776,949.06
  5. Step 5: Solve for x
    x = 14,269,776,949.06/159,494.86
  6. Step 6: Final answer
    x = 89,468.57

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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.