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Finding the Fourth Proportional to 223,395.90, 335,187.26 and 97,142.33

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Solution

The fourth proportional to 223,395.90, 335,187.26 and 97,142.33 is: 145,754.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,395.90 : 335,187.26 = 97,142.33 : x
  2. Step 2: Convert to fraction form
    223,395.90/335,187.26 = 97,142.33/x
  3. Step 3: Cross multiply
    223,395.90x = 335,187.26 × 97,142.33
  4. Step 4: Simplify right side
    223,395.90x = 32,560,871,422.72
  5. Step 5: Solve for x
    x = 32,560,871,422.72/223,395.90
  6. Step 6: Final answer
    x = 145,754.11

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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.