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Finding the Fourth Proportional to 144,883.40, 217,325.10 and 120,000.20

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Solution

The fourth proportional to 144,883.40, 217,325.10 and 120,000.20 is: 180,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,883.40 : 217,325.10 = 120,000.20 : x
  2. Step 2: Convert to fraction form
    144,883.40/217,325.10 = 120,000.20/x
  3. Step 3: Cross multiply
    144,883.40x = 217,325.10 × 120,000.20
  4. Step 4: Simplify right side
    144,883.40x = 26,079,055,465.02
  5. Step 5: Solve for x
    x = 26,079,055,465.02/144,883.40
  6. Step 6: Final answer
    x = 180,000.30

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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.