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Finding the Fourth Proportional to 195,434.80, 293,202.74 and 114,450.22

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Solution

The fourth proportional to 195,434.80, 293,202.74 and 114,450.22 is: 171,704.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,434.80 : 293,202.74 = 114,450.22 : x
  2. Step 2: Convert to fraction form
    195,434.80/293,202.74 = 114,450.22/x
  3. Step 3: Cross multiply
    195,434.80x = 293,202.74 × 114,450.22
  4. Step 4: Simplify right side
    195,434.80x = 33,557,118,337.92
  5. Step 5: Solve for x
    x = 33,557,118,337.92/195,434.80
  6. Step 6: Final answer
    x = 171,704.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.