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Finding the Fourth Proportional to 157,016.34, 216,680.16 and 85,394.72

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Solution

The fourth proportional to 157,016.34, 216,680.16 and 85,394.72 is: 117,843.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,016.34 : 216,680.16 = 85,394.72 : x
  2. Step 2: Convert to fraction form
    157,016.34/216,680.16 = 85,394.72/x
  3. Step 3: Cross multiply
    157,016.34x = 216,680.16 × 85,394.72
  4. Step 4: Simplify right side
    157,016.34x = 18,503,342,454.69
  5. Step 5: Solve for x
    x = 18,503,342,454.69/157,016.34
  6. Step 6: Final answer
    x = 117,843.42

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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.