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Finding the Fourth Proportional to 195,950.07, 294,055.92 and 71,291.07

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Solution

The fourth proportional to 195,950.07, 294,055.92 and 71,291.07 is: 106,984.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,950.07 : 294,055.92 = 71,291.07 : x
  2. Step 2: Convert to fraction form
    195,950.07/294,055.92 = 71,291.07/x
  3. Step 3: Cross multiply
    195,950.07x = 294,055.92 × 71,291.07
  4. Step 4: Simplify right side
    195,950.07x = 20,963,561,176.63
  5. Step 5: Solve for x
    x = 20,963,561,176.63/195,950.07
  6. Step 6: Final answer
    x = 106,984.20

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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.