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Finding the Fourth Proportional to 195,878, 293,900.14 and 107,027.71

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Solution

The fourth proportional to 195,878, 293,900.14 and 107,027.71 is: 160,586.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,878 : 293,900.14 = 107,027.71 : x
  2. Step 2: Convert to fraction form
    195,878/293,900.14 = 107,027.71/x
  3. Step 3: Cross multiply
    195,878x = 293,900.14 × 107,027.71
  4. Step 4: Simplify right side
    195,878x = 31,455,458,952.88
  5. Step 5: Solve for x
    x = 31,455,458,952.88/195,878
  6. Step 6: Final answer
    x = 160,586.99

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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.