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Finding the Fourth Proportional to 229,144.16, 343,578.16 and 102,761.52

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Solution

The fourth proportional to 229,144.16, 343,578.16 and 102,761.52 is: 154,080.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,144.16 : 343,578.16 = 102,761.52 : x
  2. Step 2: Convert to fraction form
    229,144.16/343,578.16 = 102,761.52/x
  3. Step 3: Cross multiply
    229,144.16x = 343,578.16 × 102,761.52
  4. Step 4: Simplify right side
    229,144.16x = 35,306,613,960.40
  5. Step 5: Solve for x
    x = 35,306,613,960.40/229,144.16
  6. Step 6: Final answer
    x = 154,080.36

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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.