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Finding the Fourth Proportional to 192,208.40, 288,311.92 and 51,967.04

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Solution

The fourth proportional to 192,208.40, 288,311.92 and 51,967.04 is: 77,950.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,208.40 : 288,311.92 = 51,967.04 : x
  2. Step 2: Convert to fraction form
    192,208.40/288,311.92 = 51,967.04/x
  3. Step 3: Cross multiply
    192,208.40x = 288,311.92 × 51,967.04
  4. Step 4: Simplify right side
    192,208.40x = 14,982,717,079.12
  5. Step 5: Solve for x
    x = 14,982,717,079.12/192,208.40
  6. Step 6: Final answer
    x = 77,950.38

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1.5x scale

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.