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Finding the Fourth Proportional to 107,857.80, 161,786.70 and 97,360.20

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Solution

The fourth proportional to 107,857.80, 161,786.70 and 97,360.20 is: 146,040.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,857.80 : 161,786.70 = 97,360.20 : x
  2. Step 2: Convert to fraction form
    107,857.80/161,786.70 = 97,360.20/x
  3. Step 3: Cross multiply
    107,857.80x = 161,786.70 × 97,360.20
  4. Step 4: Simplify right side
    107,857.80x = 15,751,585,469.34
  5. Step 5: Solve for x
    x = 15,751,585,469.34/107,857.80
  6. Step 6: Final answer
    x = 146,040.30

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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.