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Finding the Fourth Proportional to 229,892.91, 317,204.67 and 134,381.13

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Solution

The fourth proportional to 229,892.91, 317,204.67 and 134,381.13 is: 185,418.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,892.91 : 317,204.67 = 134,381.13 : x
  2. Step 2: Convert to fraction form
    229,892.91/317,204.67 = 134,381.13/x
  3. Step 3: Cross multiply
    229,892.91x = 317,204.67 × 134,381.13
  4. Step 4: Simplify right side
    229,892.91x = 42,626,321,995.88
  5. Step 5: Solve for x
    x = 42,626,321,995.88/229,892.91
  6. Step 6: Final answer
    x = 185,418.17

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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.