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Finding the Fourth Proportional to 201,764.70, 302,531.85 and 83,295.90

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Solution

The fourth proportional to 201,764.70, 302,531.85 and 83,295.90 is: 124,896.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,764.70 : 302,531.85 = 83,295.90 : x
  2. Step 2: Convert to fraction form
    201,764.70/302,531.85 = 83,295.90/x
  3. Step 3: Cross multiply
    201,764.70x = 302,531.85 × 83,295.90
  4. Step 4: Simplify right side
    201,764.70x = 25,199,662,724.42
  5. Step 5: Solve for x
    x = 25,199,662,724.42/201,764.70
  6. Step 6: Final answer
    x = 124,896.29

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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.