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Finding the Fourth Proportional to 187,165.84, 280,718.00 and 67,197.95

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Solution

The fourth proportional to 187,165.84, 280,718.00 and 67,197.95 is: 100,785.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,165.84 : 280,718.00 = 67,197.95 : x
  2. Step 2: Convert to fraction form
    187,165.84/280,718.00 = 67,197.95/x
  3. Step 3: Cross multiply
    187,165.84x = 280,718.00 × 67,197.95
  4. Step 4: Simplify right side
    187,165.84x = 18,863,675,650.23
  5. Step 5: Solve for x
    x = 18,863,675,650.23/187,165.84
  6. Step 6: Final answer
    x = 100,785.89

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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.