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Finding the Fourth Proportional to 107,267.70, 160,901.55 and 82,433.10

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Solution

The fourth proportional to 107,267.70, 160,901.55 and 82,433.10 is: 123,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,267.70 : 160,901.55 = 82,433.10 : x
  2. Step 2: Convert to fraction form
    107,267.70/160,901.55 = 82,433.10/x
  3. Step 3: Cross multiply
    107,267.70x = 160,901.55 × 82,433.10
  4. Step 4: Simplify right side
    107,267.70x = 13,263,613,561.31
  5. Step 5: Solve for x
    x = 13,263,613,561.31/107,267.70
  6. Step 6: Final answer
    x = 123,649.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.