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Finding the Fourth Proportional to 178,744.86, 268,122.15 and 54,085.86

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Solution

The fourth proportional to 178,744.86, 268,122.15 and 54,085.86 is: 81,130.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,744.86 : 268,122.15 = 54,085.86 : x
  2. Step 2: Convert to fraction form
    178,744.86/268,122.15 = 54,085.86/x
  3. Step 3: Cross multiply
    178,744.86x = 268,122.15 × 54,085.86
  4. Step 4: Simplify right side
    178,744.86x = 14,501,617,067.80
  5. Step 5: Solve for x
    x = 14,501,617,067.80/178,744.86
  6. Step 6: Final answer
    x = 81,130.26

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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.