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Finding the Fourth Proportional to 142,816.80, 214,225.20 and 120,007.20

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Solution

The fourth proportional to 142,816.80, 214,225.20 and 120,007.20 is: 180,010.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,816.80 : 214,225.20 = 120,007.20 : x
  2. Step 2: Convert to fraction form
    142,816.80/214,225.20 = 120,007.20/x
  3. Step 3: Cross multiply
    142,816.80x = 214,225.20 × 120,007.20
  4. Step 4: Simplify right side
    142,816.80x = 25,708,566,421.44
  5. Step 5: Solve for x
    x = 25,708,566,421.44/142,816.80
  6. Step 6: Final answer
    x = 180,010.80

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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.