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Finding the Fourth Proportional to 157,042.62, 216,716.58 and 85,423.23

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Solution

The fourth proportional to 157,042.62, 216,716.58 and 85,423.23 is: 117,882.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,042.62 : 216,716.58 = 85,423.23 : x
  2. Step 2: Convert to fraction form
    157,042.62/216,716.58 = 85,423.23/x
  3. Step 3: Cross multiply
    157,042.62x = 216,716.58 × 85,423.23
  4. Step 4: Simplify right side
    157,042.62x = 18,512,630,258.15
  5. Step 5: Solve for x
    x = 18,512,630,258.15/157,042.62
  6. Step 6: Final answer
    x = 117,882.84

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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.