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Finding the Fourth Proportional to 178,859.33, 268,089.16 and 77,540.42

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Solution

The fourth proportional to 178,859.33, 268,089.16 and 77,540.42 is: 116,224.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,859.33 : 268,089.16 = 77,540.42 : x
  2. Step 2: Convert to fraction form
    178,859.33/268,089.16 = 77,540.42/x
  3. Step 3: Cross multiply
    178,859.33x = 268,089.16 × 77,540.42
  4. Step 4: Simplify right side
    178,859.33x = 20,787,746,063.85
  5. Step 5: Solve for x
    x = 20,787,746,063.85/178,859.33
  6. Step 6: Final answer
    x = 116,224.00

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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.