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Finding the Fourth Proportional to 120,069.89, 165,691.98 and 69,090.50

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Solution

The fourth proportional to 120,069.89, 165,691.98 and 69,090.50 is: 95,342.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,069.89 : 165,691.98 = 69,090.50 : x
  2. Step 2: Convert to fraction form
    120,069.89/165,691.98 = 69,090.50/x
  3. Step 3: Cross multiply
    120,069.89x = 165,691.98 × 69,090.50
  4. Step 4: Simplify right side
    120,069.89x = 11,447,742,158.42
  5. Step 5: Solve for x
    x = 11,447,742,158.42/120,069.89
  6. Step 6: Final answer
    x = 95,342.32

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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.