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Finding the Fourth Proportional to 130,105.20, 194,866.20 and 106,777.20

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Solution

The fourth proportional to 130,105.20, 194,866.20 and 106,777.20 is: 159,926.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,105.20 : 194,866.20 = 106,777.20 : x
  2. Step 2: Convert to fraction form
    130,105.20/194,866.20 = 106,777.20/x
  3. Step 3: Cross multiply
    130,105.20x = 194,866.20 × 106,777.20
  4. Step 4: Simplify right side
    130,105.20x = 20,807,267,210.64
  5. Step 5: Solve for x
    x = 20,807,267,210.64/130,105.20
  6. Step 6: Final answer
    x = 159,926.48

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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.