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Finding the Fourth Proportional to 107,301.70, 160,952.55 and 82,467.10

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Solution

The fourth proportional to 107,301.70, 160,952.55 and 82,467.10 is: 123,700.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,301.70 : 160,952.55 = 82,467.10 : x
  2. Step 2: Convert to fraction form
    107,301.70/160,952.55 = 82,467.10/x
  3. Step 3: Cross multiply
    107,301.70x = 160,952.55 × 82,467.10
  4. Step 4: Simplify right side
    107,301.70x = 13,273,290,036.11
  5. Step 5: Solve for x
    x = 13,273,290,036.11/107,301.70
  6. Step 6: Final answer
    x = 123,700.65

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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.