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Finding the Fourth Proportional to 189,850.89, 284,776.61 and 77,531.11

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Solution

The fourth proportional to 189,850.89, 284,776.61 and 77,531.11 is: 116,296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,850.89 : 284,776.61 = 77,531.11 : x
  2. Step 2: Convert to fraction form
    189,850.89/284,776.61 = 77,531.11/x
  3. Step 3: Cross multiply
    189,850.89x = 284,776.61 × 77,531.11
  4. Step 4: Simplify right side
    189,850.89x = 22,079,046,060.31
  5. Step 5: Solve for x
    x = 22,079,046,060.31/189,850.89
  6. Step 6: Final answer
    x = 116,296.77

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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.