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Finding the Fourth Proportional to 82,265.96, 123,448.08 and 75,573.74

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Solution

The fourth proportional to 82,265.96, 123,448.08 and 75,573.74 is: 113,405.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,265.96 : 123,448.08 = 75,573.74 : x
  2. Step 2: Convert to fraction form
    82,265.96/123,448.08 = 75,573.74/x
  3. Step 3: Cross multiply
    82,265.96x = 123,448.08 × 75,573.74
  4. Step 4: Simplify right side
    82,265.96x = 9,329,433,101.42
  5. Step 5: Solve for x
    x = 9,329,433,101.42/82,265.96
  6. Step 6: Final answer
    x = 113,405.75

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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.