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Finding the Fourth Proportional to 149,275.24, 224,223.90 and 125,947.24

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Solution

The fourth proportional to 149,275.24, 224,223.90 and 125,947.24 is: 189,183.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,275.24 : 224,223.90 = 125,947.24 : x
  2. Step 2: Convert to fraction form
    149,275.24/224,223.90 = 125,947.24/x
  3. Step 3: Cross multiply
    149,275.24x = 224,223.90 × 125,947.24
  4. Step 4: Simplify right side
    149,275.24x = 28,240,381,347.04
  5. Step 5: Solve for x
    x = 28,240,381,347.04/149,275.24
  6. Step 6: Final answer
    x = 189,183.29

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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.