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Finding the Fourth Proportional to 204,997.50, 282,774.76 and 159,603.59

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Solution

The fourth proportional to 204,997.50, 282,774.76 and 159,603.59 is: 220,158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,997.50 : 282,774.76 = 159,603.59 : x
  2. Step 2: Convert to fraction form
    204,997.50/282,774.76 = 159,603.59/x
  3. Step 3: Cross multiply
    204,997.50x = 282,774.76 × 159,603.59
  4. Step 4: Simplify right side
    204,997.50x = 45,131,866,857.39
  5. Step 5: Solve for x
    x = 45,131,866,857.39/204,997.50
  6. Step 6: Final answer
    x = 220,158.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.