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Finding the Fourth Proportional to 120,115.26, 165,775.59 and 69,126.98

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Solution

The fourth proportional to 120,115.26, 165,775.59 and 69,126.98 is: 95,404.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,115.26 : 165,775.59 = 69,126.98 : x
  2. Step 2: Convert to fraction form
    120,115.26/165,775.59 = 69,126.98/x
  3. Step 3: Cross multiply
    120,115.26x = 165,775.59 × 69,126.98
  4. Step 4: Simplify right side
    120,115.26x = 11,459,565,065.54
  5. Step 5: Solve for x
    x = 11,459,565,065.54/120,115.26
  6. Step 6: Final answer
    x = 95,404.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.