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Finding the Fourth Proportional to 329,086.96, 493,341.48 and 158,223.28

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Solution

The fourth proportional to 329,086.96, 493,341.48 and 158,223.28 is: 237,195.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,086.96 : 493,341.48 = 158,223.28 : x
  2. Step 2: Convert to fraction form
    329,086.96/493,341.48 = 158,223.28/x
  3. Step 3: Cross multiply
    329,086.96x = 493,341.48 × 158,223.28
  4. Step 4: Simplify right side
    329,086.96x = 78,058,107,125.65
  5. Step 5: Solve for x
    x = 78,058,107,125.65/329,086.96
  6. Step 6: Final answer
    x = 237,195.99

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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.