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Finding the Fourth Proportional to 229,414, 344,055.28 and 96,324.16

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Solution

The fourth proportional to 229,414, 344,055.28 and 96,324.16 is: 144,458.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,414 : 344,055.28 = 96,324.16 : x
  2. Step 2: Convert to fraction form
    229,414/344,055.28 = 96,324.16/x
  3. Step 3: Cross multiply
    229,414x = 344,055.28 × 96,324.16
  4. Step 4: Simplify right side
    229,414x = 33,140,835,839.56
  5. Step 5: Solve for x
    x = 33,140,835,839.56/229,414
  6. Step 6: Final answer
    x = 144,458.65

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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.