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Finding the Fourth Proportional to 252,047.88, 347,817.84 and 144,616.20

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Solution

The fourth proportional to 252,047.88, 347,817.84 and 144,616.20 is: 199,565.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,047.88 : 347,817.84 = 144,616.20 : x
  2. Step 2: Convert to fraction form
    252,047.88/347,817.84 = 144,616.20/x
  3. Step 3: Cross multiply
    252,047.88x = 347,817.84 × 144,616.20
  4. Step 4: Simplify right side
    252,047.88x = 50,300,094,313.01
  5. Step 5: Solve for x
    x = 50,300,094,313.01/252,047.88
  6. Step 6: Final answer
    x = 199,565.63

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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.