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Finding the Fourth Proportional to 308,553.20, 462,863.82 and 98,141.93

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Solution

The fourth proportional to 308,553.20, 462,863.82 and 98,141.93 is: 147,223.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,553.20 : 462,863.82 = 98,141.93 : x
  2. Step 2: Convert to fraction form
    308,553.20/462,863.82 = 98,141.93/x
  3. Step 3: Cross multiply
    308,553.20x = 462,863.82 × 98,141.93
  4. Step 4: Simplify right side
    308,553.20x = 45,426,348,621.97
  5. Step 5: Solve for x
    x = 45,426,348,621.97/308,553.20
  6. Step 6: Final answer
    x = 147,223.72

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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.