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Finding the Fourth Proportional to 189,555.89, 284,193.39 and 89,599.28

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Solution

The fourth proportional to 189,555.89, 284,193.39 and 89,599.28 is: 134,332.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,555.89 : 284,193.39 = 89,599.28 : x
  2. Step 2: Convert to fraction form
    189,555.89/284,193.39 = 89,599.28/x
  3. Step 3: Cross multiply
    189,555.89x = 284,193.39 × 89,599.28
  4. Step 4: Simplify right side
    189,555.89x = 25,463,522,882.38
  5. Step 5: Solve for x
    x = 25,463,522,882.38/189,555.89
  6. Step 6: Final answer
    x = 134,332.53

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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.