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Finding the Fourth Proportional to 201,702.22, 302,553.15 and 83,243.26

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Solution

The fourth proportional to 201,702.22, 302,553.15 and 83,243.26 is: 124,864.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,702.22 : 302,553.15 = 83,243.26 : x
  2. Step 2: Convert to fraction form
    201,702.22/302,553.15 = 83,243.26/x
  3. Step 3: Cross multiply
    201,702.22x = 302,553.15 × 83,243.26
  4. Step 4: Simplify right side
    201,702.22x = 25,185,510,529.27
  5. Step 5: Solve for x
    x = 25,185,510,529.27/201,702.22
  6. Step 6: Final answer
    x = 124,864.82

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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.