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Finding the Fourth Proportional to 107,085.40, 160,628.10 and 82,202.20

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Solution

The fourth proportional to 107,085.40, 160,628.10 and 82,202.20 is: 123,303.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,085.40 : 160,628.10 = 82,202.20 : x
  2. Step 2: Convert to fraction form
    107,085.40/160,628.10 = 82,202.20/x
  3. Step 3: Cross multiply
    107,085.40x = 160,628.10 × 82,202.20
  4. Step 4: Simplify right side
    107,085.40x = 13,203,983,201.82
  5. Step 5: Solve for x
    x = 13,203,983,201.82/107,085.40
  6. Step 6: Final answer
    x = 123,303.30

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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.