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Finding the Fourth Proportional to 120,002.40, 180,003.60 and 82,677.60

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Solution

The fourth proportional to 120,002.40, 180,003.60 and 82,677.60 is: 124,016.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,002.40 : 180,003.60 = 82,677.60 : x
  2. Step 2: Convert to fraction form
    120,002.40/180,003.60 = 82,677.60/x
  3. Step 3: Cross multiply
    120,002.40x = 180,003.60 × 82,677.60
  4. Step 4: Simplify right side
    120,002.40x = 14,882,265,639.36
  5. Step 5: Solve for x
    x = 14,882,265,639.36/120,002.40
  6. Step 6: Final answer
    x = 124,016.40

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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.