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Finding the Fourth Proportional to 268,651.78, 402,449.37 and 156,095.74

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Solution

The fourth proportional to 268,651.78, 402,449.37 and 156,095.74 is: 233,836.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,651.78 : 402,449.37 = 156,095.74 : x
  2. Step 2: Convert to fraction form
    268,651.78/402,449.37 = 156,095.74/x
  3. Step 3: Cross multiply
    268,651.78x = 402,449.37 × 156,095.74
  4. Step 4: Simplify right side
    268,651.78x = 62,820,632,222.68
  5. Step 5: Solve for x
    x = 62,820,632,222.68/268,651.78
  6. Step 6: Final answer
    x = 233,836.65

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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.