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Finding the Fourth Proportional to 120,228.90, 165,901.45 and 69,258.30

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Solution

The fourth proportional to 120,228.90, 165,901.45 and 69,258.30 is: 95,568.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,228.90 : 165,901.45 = 69,258.30 : x
  2. Step 2: Convert to fraction form
    120,228.90/165,901.45 = 69,258.30/x
  3. Step 3: Cross multiply
    120,228.90x = 165,901.45 × 69,258.30
  4. Step 4: Simplify right side
    120,228.90x = 11,490,052,394.54
  5. Step 5: Solve for x
    x = 11,490,052,394.54/120,228.90
  6. Step 6: Final answer
    x = 95,568.14

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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.