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Finding the Fourth Proportional to 189,761.61, 284,689.13 and 133,711.17

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Solution

The fourth proportional to 189,761.61, 284,689.13 and 133,711.17 is: 200,599.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,761.61 : 284,689.13 = 133,711.17 : x
  2. Step 2: Convert to fraction form
    189,761.61/284,689.13 = 133,711.17/x
  3. Step 3: Cross multiply
    189,761.61x = 284,689.13 × 133,711.17
  4. Step 4: Simplify right side
    189,761.61x = 38,066,115,990.03
  5. Step 5: Solve for x
    x = 38,066,115,990.03/189,761.61
  6. Step 6: Final answer
    x = 200,599.67

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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.