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Finding the Fourth Proportional to 142,555.20, 213,832.80 and 120,004.80

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Solution

The fourth proportional to 142,555.20, 213,832.80 and 120,004.80 is: 180,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,555.20 : 213,832.80 = 120,004.80 : x
  2. Step 2: Convert to fraction form
    142,555.20/213,832.80 = 120,004.80/x
  3. Step 3: Cross multiply
    142,555.20x = 213,832.80 × 120,004.80
  4. Step 4: Simplify right side
    142,555.20x = 25,660,962,397.44
  5. Step 5: Solve for x
    x = 25,660,962,397.44/142,555.20
  6. Step 6: Final answer
    x = 180,007.20

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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.