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Finding the Fourth Proportional to 120,181.68, 165,865.14 and 69,880.68

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Solution

The fourth proportional to 120,181.68, 165,865.14 and 69,880.68 is: 96,443.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,181.68 : 165,865.14 = 69,880.68 : x
  2. Step 2: Convert to fraction form
    120,181.68/165,865.14 = 69,880.68/x
  3. Step 3: Cross multiply
    120,181.68x = 165,865.14 × 69,880.68
  4. Step 4: Simplify right side
    120,181.68x = 11,590,768,771.50
  5. Step 5: Solve for x
    x = 11,590,768,771.50/120,181.68
  6. Step 6: Final answer
    x = 96,443.72

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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.