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Finding the Fourth Proportional to 120,800.20, 181,200.30 and 109,913.80

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Solution

The fourth proportional to 120,800.20, 181,200.30 and 109,913.80 is: 164,870.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,800.20 : 181,200.30 = 109,913.80 : x
  2. Step 2: Convert to fraction form
    120,800.20/181,200.30 = 109,913.80/x
  3. Step 3: Cross multiply
    120,800.20x = 181,200.30 × 109,913.80
  4. Step 4: Simplify right side
    120,800.20x = 19,916,413,534.14
  5. Step 5: Solve for x
    x = 19,916,413,534.14/120,800.20
  6. Step 6: Final answer
    x = 164,870.70

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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.