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Finding the Fourth Proportional to 180,002.60, 270,003.90 and 53,642.60

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Solution

The fourth proportional to 180,002.60, 270,003.90 and 53,642.60 is: 80,463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,002.60 : 270,003.90 = 53,642.60 : x
  2. Step 2: Convert to fraction form
    180,002.60/270,003.90 = 53,642.60/x
  3. Step 3: Cross multiply
    180,002.60x = 270,003.90 × 53,642.60
  4. Step 4: Simplify right side
    180,002.60x = 14,483,711,206.14
  5. Step 5: Solve for x
    x = 14,483,711,206.14/180,002.60
  6. Step 6: Final answer
    x = 80,463.90

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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.