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Finding the Fourth Proportional to 173,098.17, 259,661.84 and 54,766.89

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Solution

The fourth proportional to 173,098.17, 259,661.84 and 54,766.89 is: 82,154.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,098.17 : 259,661.84 = 54,766.89 : x
  2. Step 2: Convert to fraction form
    173,098.17/259,661.84 = 54,766.89/x
  3. Step 3: Cross multiply
    173,098.17x = 259,661.84 × 54,766.89
  4. Step 4: Simplify right side
    173,098.17x = 14,220,871,154.64
  5. Step 5: Solve for x
    x = 14,220,871,154.64/173,098.17
  6. Step 6: Final answer
    x = 82,154.95

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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.