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Finding the Fourth Proportional to 189,960.84, 284,690.12 and 99,819.38

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Solution

The fourth proportional to 189,960.84, 284,690.12 and 99,819.38 is: 149,597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,960.84 : 284,690.12 = 99,819.38 : x
  2. Step 2: Convert to fraction form
    189,960.84/284,690.12 = 99,819.38/x
  3. Step 3: Cross multiply
    189,960.84x = 284,690.12 × 99,819.38
  4. Step 4: Simplify right side
    189,960.84x = 28,417,591,270.53
  5. Step 5: Solve for x
    x = 28,417,591,270.53/189,960.84
  6. Step 6: Final answer
    x = 149,597.10

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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.