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Finding the Fourth Proportional to 268,651.28, 402,448.62 and 156,095.24

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Solution

The fourth proportional to 268,651.28, 402,448.62 and 156,095.24 is: 233,835.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,651.28 : 402,448.62 = 156,095.24 : x
  2. Step 2: Convert to fraction form
    268,651.28/402,448.62 = 156,095.24/x
  3. Step 3: Cross multiply
    268,651.28x = 402,448.62 × 156,095.24
  4. Step 4: Simplify right side
    268,651.28x = 62,820,313,926.57
  5. Step 5: Solve for x
    x = 62,820,313,926.57/268,651.28
  6. Step 6: Final answer
    x = 233,835.90

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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.