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Finding the Fourth Proportional to 189,818.73, 284,670.57 and 99,812.97

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Solution

The fourth proportional to 189,818.73, 284,670.57 and 99,812.97 is: 149,689.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,818.73 : 284,670.57 = 99,812.97 : x
  2. Step 2: Convert to fraction form
    189,818.73/284,670.57 = 99,812.97/x
  3. Step 3: Cross multiply
    189,818.73x = 284,670.57 × 99,812.97
  4. Step 4: Simplify right side
    189,818.73x = 28,413,815,063.29
  5. Step 5: Solve for x
    x = 28,413,815,063.29/189,818.73
  6. Step 6: Final answer
    x = 149,689.21

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Why These Related Problems?

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