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Finding the Fourth Proportional to 120,077.14, 165,695.56 and 69,076.30

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Solution

The fourth proportional to 120,077.14, 165,695.56 and 69,076.30 is: 95,319.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,077.14 : 165,695.56 = 69,076.30 : x
  2. Step 2: Convert to fraction form
    120,077.14/165,695.56 = 69,076.30/x
  3. Step 3: Cross multiply
    120,077.14x = 165,695.56 × 69,076.30
  4. Step 4: Simplify right side
    120,077.14x = 11,445,636,211.23
  5. Step 5: Solve for x
    x = 11,445,636,211.23/120,077.14
  6. Step 6: Final answer
    x = 95,319.03

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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.