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Finding the Fourth Proportional to 187,151.94, 280,737.99 and 74,849.22

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Solution

The fourth proportional to 187,151.94, 280,737.99 and 74,849.22 is: 112,277.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,151.94 : 280,737.99 = 74,849.22 : x
  2. Step 2: Convert to fraction form
    187,151.94/280,737.99 = 74,849.22/x
  3. Step 3: Cross multiply
    187,151.94x = 280,737.99 × 74,849.22
  4. Step 4: Simplify right side
    187,151.94x = 21,013,019,575.87
  5. Step 5: Solve for x
    x = 21,013,019,575.87/187,151.94
  6. Step 6: Final answer
    x = 112,277.86

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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.