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Finding the Fourth Proportional to 221,718.75, 305,972.24 and 126,225.45

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Solution

The fourth proportional to 221,718.75, 305,972.24 and 126,225.45 is: 174,191.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,718.75 : 305,972.24 = 126,225.45 : x
  2. Step 2: Convert to fraction form
    221,718.75/305,972.24 = 126,225.45/x
  3. Step 3: Cross multiply
    221,718.75x = 305,972.24 × 126,225.45
  4. Step 4: Simplify right side
    221,718.75x = 38,621,483,050.38
  5. Step 5: Solve for x
    x = 38,621,483,050.38/221,718.75
  6. Step 6: Final answer
    x = 174,191.33

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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.