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Finding the Fourth Proportional to 195,361.96, 293,031.61 and 75,395.45

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Solution

The fourth proportional to 195,361.96, 293,031.61 and 75,395.45 is: 113,088.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,361.96 : 293,031.61 = 75,395.45 : x
  2. Step 2: Convert to fraction form
    195,361.96/293,031.61 = 75,395.45/x
  3. Step 3: Cross multiply
    195,361.96x = 293,031.61 × 75,395.45
  4. Step 4: Simplify right side
    195,361.96x = 22,093,250,100.17
  5. Step 5: Solve for x
    x = 22,093,250,100.17/195,361.96
  6. Step 6: Final answer
    x = 113,088.80

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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.