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Finding the Fourth Proportional to 195,950.90, 294,057.26 and 71,291.90

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Solution

The fourth proportional to 195,950.90, 294,057.26 and 71,291.90 is: 106,985.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,950.90 : 294,057.26 = 71,291.90 : x
  2. Step 2: Convert to fraction form
    195,950.90/294,057.26 = 71,291.90/x
  3. Step 3: Cross multiply
    195,950.90x = 294,057.26 × 71,291.90
  4. Step 4: Simplify right side
    195,950.90x = 20,963,900,774.19
  5. Step 5: Solve for x
    x = 20,963,900,774.19/195,950.90
  6. Step 6: Final answer
    x = 106,985.48

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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.