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Finding the Fourth Proportional to 227,517.17, 313,988.37 and 130,752.14

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Solution

The fourth proportional to 227,517.17, 313,988.37 and 130,752.14 is: 180,446.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,517.17 : 313,988.37 = 130,752.14 : x
  2. Step 2: Convert to fraction form
    227,517.17/313,988.37 = 130,752.14/x
  3. Step 3: Cross multiply
    227,517.17x = 313,988.37 × 130,752.14
  4. Step 4: Simplify right side
    227,517.17x = 41,054,651,312.61
  5. Step 5: Solve for x
    x = 41,054,651,312.61/227,517.17
  6. Step 6: Final answer
    x = 180,446.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.