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Finding the Fourth Proportional to 223,965.37, 309,061.37 and 127,156.54

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Solution

The fourth proportional to 223,965.37, 309,061.37 and 127,156.54 is: 175,469.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,965.37 : 309,061.37 = 127,156.54 : x
  2. Step 2: Convert to fraction form
    223,965.37/309,061.37 = 127,156.54/x
  3. Step 3: Cross multiply
    223,965.37x = 309,061.37 × 127,156.54
  4. Step 4: Simplify right side
    223,965.37x = 39,299,173,821.01
  5. Step 5: Solve for x
    x = 39,299,173,821.01/223,965.37
  6. Step 6: Final answer
    x = 175,469.86

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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.