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Finding the Fourth Proportional to 180,168.85, 270,253.31 and 47,047.94

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Solution

The fourth proportional to 180,168.85, 270,253.31 and 47,047.94 is: 70,571.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,168.85 : 270,253.31 = 47,047.94 : x
  2. Step 2: Convert to fraction form
    180,168.85/270,253.31 = 47,047.94/x
  3. Step 3: Cross multiply
    180,168.85x = 270,253.31 × 47,047.94
  4. Step 4: Simplify right side
    180,168.85x = 12,714,862,306.93
  5. Step 5: Solve for x
    x = 12,714,862,306.93/180,168.85
  6. Step 6: Final answer
    x = 70,571.92

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1.5x scale

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.