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Finding the Fourth Proportional to 107,886.88, 161,899.44 and 52,452.64

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Solution

The fourth proportional to 107,886.88, 161,899.44 and 52,452.64 is: 78,712.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,886.88 : 161,899.44 = 52,452.64 : x
  2. Step 2: Convert to fraction form
    107,886.88/161,899.44 = 52,452.64/x
  3. Step 3: Cross multiply
    107,886.88x = 161,899.44 × 52,452.64
  4. Step 4: Simplify right side
    107,886.88x = 8,492,053,042.52
  5. Step 5: Solve for x
    x = 8,492,053,042.52/107,886.88
  6. Step 6: Final answer
    x = 78,712.56

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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.