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Finding the Fourth Proportional to 229,101.28, 343,586.04 and 95,978.32

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Solution

The fourth proportional to 229,101.28, 343,586.04 and 95,978.32 is: 143,939.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,101.28 : 343,586.04 = 95,978.32 : x
  2. Step 2: Convert to fraction form
    229,101.28/343,586.04 = 95,978.32/x
  3. Step 3: Cross multiply
    229,101.28x = 343,586.04 × 95,978.32
  4. Step 4: Simplify right side
    229,101.28x = 32,976,810,894.65
  5. Step 5: Solve for x
    x = 32,976,810,894.65/229,101.28
  6. Step 6: Final answer
    x = 143,939.88

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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.