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Finding the Fourth Proportional to 224,749.13, 310,163.23 and 129,255.90

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Solution

The fourth proportional to 224,749.13, 310,163.23 and 129,255.90 is: 178,378.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,749.13 : 310,163.23 = 129,255.90 : x
  2. Step 2: Convert to fraction form
    224,749.13/310,163.23 = 129,255.90/x
  3. Step 3: Cross multiply
    224,749.13x = 310,163.23 × 129,255.90
  4. Step 4: Simplify right side
    224,749.13x = 40,090,427,440.56
  5. Step 5: Solve for x
    x = 40,090,427,440.56/224,749.13
  6. Step 6: Final answer
    x = 178,378.57

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1.5x scale

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.