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Finding the Fourth Proportional to 201,702.54, 302,326.23 and 89,367.97

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Solution

The fourth proportional to 201,702.54, 302,326.23 and 89,367.97 is: 133,951.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,702.54 : 302,326.23 = 89,367.97 : x
  2. Step 2: Convert to fraction form
    201,702.54/302,326.23 = 89,367.97/x
  3. Step 3: Cross multiply
    201,702.54x = 302,326.23 × 89,367.97
  4. Step 4: Simplify right side
    201,702.54x = 27,018,281,452.85
  5. Step 5: Solve for x
    x = 27,018,281,452.85/201,702.54
  6. Step 6: Final answer
    x = 133,951.12

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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.