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Finding the Fourth Proportional to 192,718.40, 288,904.80 and 171,723.20

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Solution

The fourth proportional to 192,718.40, 288,904.80 and 171,723.20 is: 257,430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,718.40 : 288,904.80 = 171,723.20 : x
  2. Step 2: Convert to fraction form
    192,718.40/288,904.80 = 171,723.20/x
  3. Step 3: Cross multiply
    192,718.40x = 288,904.80 × 171,723.20
  4. Step 4: Simplify right side
    192,718.40x = 49,611,656,751.36
  5. Step 5: Solve for x
    x = 49,611,656,751.36/192,718.40
  6. Step 6: Final answer
    x = 257,430.83

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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.