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Finding the Fourth Proportional to 101,738.80, 152,608.20 and 86,705.20

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Solution

The fourth proportional to 101,738.80, 152,608.20 and 86,705.20 is: 130,057.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,738.80 : 152,608.20 = 86,705.20 : x
  2. Step 2: Convert to fraction form
    101,738.80/152,608.20 = 86,705.20/x
  3. Step 3: Cross multiply
    101,738.80x = 152,608.20 × 86,705.20
  4. Step 4: Simplify right side
    101,738.80x = 13,231,924,502.64
  5. Step 5: Solve for x
    x = 13,231,924,502.64/101,738.80
  6. Step 6: Final answer
    x = 130,057.80

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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.