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Finding the Fourth Proportional to 101,702.34, 152,540.10 and 26,828.34

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Solution

The fourth proportional to 101,702.34, 152,540.10 and 26,828.34 is: 40,238.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,702.34 : 152,540.10 = 26,828.34 : x
  2. Step 2: Convert to fraction form
    101,702.34/152,540.10 = 26,828.34/x
  3. Step 3: Cross multiply
    101,702.34x = 152,540.10 × 26,828.34
  4. Step 4: Simplify right side
    101,702.34x = 4,092,397,666.43
  5. Step 5: Solve for x
    x = 4,092,397,666.43/101,702.34
  6. Step 6: Final answer
    x = 40,238.97

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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.