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Finding the Fourth Proportional to 105,045.45, 157,436.78 and 52,469.61

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Solution

The fourth proportional to 105,045.45, 157,436.78 and 52,469.61 is: 78,638.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,045.45 : 157,436.78 = 52,469.61 : x
  2. Step 2: Convert to fraction form
    105,045.45/157,436.78 = 52,469.61/x
  3. Step 3: Cross multiply
    105,045.45x = 157,436.78 × 52,469.61
  4. Step 4: Simplify right side
    105,045.45x = 8,260,646,183.91
  5. Step 5: Solve for x
    x = 8,260,646,183.91/105,045.45
  6. Step 6: Final answer
    x = 78,638.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.