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Finding the Fourth Proportional to 120,011, 165,615.18 and 67,019

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Solution

The fourth proportional to 120,011, 165,615.18 and 67,019 is: 92,486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,011 : 165,615.18 = 67,019 : x
  2. Step 2: Convert to fraction form
    120,011/165,615.18 = 67,019/x
  3. Step 3: Cross multiply
    120,011x = 165,615.18 × 67,019
  4. Step 4: Simplify right side
    120,011x = 11,099,363,748.42
  5. Step 5: Solve for x
    x = 11,099,363,748.42/120,011
  6. Step 6: Final answer
    x = 92,486.22

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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.