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Finding the Fourth Proportional to 109,700.88, 164,559 and 54,282

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Solution

The fourth proportional to 109,700.88, 164,559 and 54,282 is: 81,426.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,700.88 : 164,559 = 54,282 : x
  2. Step 2: Convert to fraction form
    109,700.88/164,559 = 54,282/x
  3. Step 3: Cross multiply
    109,700.88x = 164,559 × 54,282
  4. Step 4: Simplify right side
    109,700.88x = 8,932,591,638
  5. Step 5: Solve for x
    x = 8,932,591,638/109,700.88
  6. Step 6: Final answer
    x = 81,426.80

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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.