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Finding the Fourth Proportional to 101,416.88, 152,092.96 and 34,840.96

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Solution

The fourth proportional to 101,416.88, 152,092.96 and 34,840.96 is: 52,250.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,416.88 : 152,092.96 = 34,840.96 : x
  2. Step 2: Convert to fraction form
    101,416.88/152,092.96 = 34,840.96/x
  3. Step 3: Cross multiply
    101,416.88x = 152,092.96 × 34,840.96
  4. Step 4: Simplify right side
    101,416.88x = 5,299,064,735.64
  5. Step 5: Solve for x
    x = 5,299,064,735.64/101,416.88
  6. Step 6: Final answer
    x = 52,250.32

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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.