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Finding the Fourth Proportional to 195,507.60, 293,202.90 and 101,962.32

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Solution

The fourth proportional to 195,507.60, 293,202.90 and 101,962.32 is: 152,912.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,507.60 : 293,202.90 = 101,962.32 : x
  2. Step 2: Convert to fraction form
    195,507.60/293,202.90 = 101,962.32/x
  3. Step 3: Cross multiply
    195,507.60x = 293,202.90 × 101,962.32
  4. Step 4: Simplify right side
    195,507.60x = 29,895,647,914.73
  5. Step 5: Solve for x
    x = 29,895,647,914.73/195,507.60
  6. Step 6: Final answer
    x = 152,912.97

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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.