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Finding the Fourth Proportional to 197,865.76, 296,522.16 and 92,423.20

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Solution

The fourth proportional to 197,865.76, 296,522.16 and 92,423.20 is: 138,505.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,865.76 : 296,522.16 = 92,423.20 : x
  2. Step 2: Convert to fraction form
    197,865.76/296,522.16 = 92,423.20/x
  3. Step 3: Cross multiply
    197,865.76x = 296,522.16 × 92,423.20
  4. Step 4: Simplify right side
    197,865.76x = 27,405,526,898.11
  5. Step 5: Solve for x
    x = 27,405,526,898.11/197,865.76
  6. Step 6: Final answer
    x = 138,505.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.