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Finding the Fourth Proportional to 180,443.12, 270,658.20 and 47,322.32

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Solution

The fourth proportional to 180,443.12, 270,658.20 and 47,322.32 is: 70,981.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,443.12 : 270,658.20 = 47,322.32 : x
  2. Step 2: Convert to fraction form
    180,443.12/270,658.20 = 47,322.32/x
  3. Step 3: Cross multiply
    180,443.12x = 270,658.20 × 47,322.32
  4. Step 4: Simplify right side
    180,443.12x = 12,808,173,951.02
  5. Step 5: Solve for x
    x = 12,808,173,951.02/180,443.12
  6. Step 6: Final answer
    x = 70,981.78

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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.