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Finding the Fourth Proportional to 120,885.12, 166,802.40 and 69,878.88

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Solution

The fourth proportional to 120,885.12, 166,802.40 and 69,878.88 is: 96,421.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,885.12 : 166,802.40 = 69,878.88 : x
  2. Step 2: Convert to fraction form
    120,885.12/166,802.40 = 69,878.88/x
  3. Step 3: Cross multiply
    120,885.12x = 166,802.40 × 69,878.88
  4. Step 4: Simplify right side
    120,885.12x = 11,655,964,893.31
  5. Step 5: Solve for x
    x = 11,655,964,893.31/120,885.12
  6. Step 6: Final answer
    x = 96,421.83

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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.