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Finding the Fourth Proportional to 156,965.18, 216,609.39 and 85,347

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Solution

The fourth proportional to 156,965.18, 216,609.39 and 85,347 is: 117,777.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,965.18 : 216,609.39 = 85,347 : x
  2. Step 2: Convert to fraction form
    156,965.18/216,609.39 = 85,347/x
  3. Step 3: Cross multiply
    156,965.18x = 216,609.39 × 85,347
  4. Step 4: Simplify right side
    156,965.18x = 18,486,961,608.33
  5. Step 5: Solve for x
    x = 18,486,961,608.33/156,965.18
  6. Step 6: Final answer
    x = 117,777.47

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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.