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Finding the Fourth Proportional to 229,029.75, 316,061.85 and 127,057.23

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Solution

The fourth proportional to 229,029.75, 316,061.85 and 127,057.23 is: 175,339.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,029.75 : 316,061.85 = 127,057.23 : x
  2. Step 2: Convert to fraction form
    229,029.75/316,061.85 = 127,057.23/x
  3. Step 3: Cross multiply
    229,029.75x = 316,061.85 × 127,057.23
  4. Step 4: Simplify right side
    229,029.75x = 40,157,943,169.68
  5. Step 5: Solve for x
    x = 40,157,943,169.68/229,029.75
  6. Step 6: Final answer
    x = 175,339.42

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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.