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Finding the Fourth Proportional to 96,000.20, 144,000.30 and 54,009.80

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Solution

The fourth proportional to 96,000.20, 144,000.30 and 54,009.80 is: 81,014.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,000.20 : 144,000.30 = 54,009.80 : x
  2. Step 2: Convert to fraction form
    96,000.20/144,000.30 = 54,009.80/x
  3. Step 3: Cross multiply
    96,000.20x = 144,000.30 × 54,009.80
  4. Step 4: Simplify right side
    96,000.20x = 7,777,427,402.94
  5. Step 5: Solve for x
    x = 7,777,427,402.94/96,000.20
  6. Step 6: Final answer
    x = 81,014.70

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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.