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Finding the Fourth Proportional to 251,806.40, 377,306.40 and 133,323.20

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Solution

The fourth proportional to 251,806.40, 377,306.40 and 133,323.20 is: 199,771.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,806.40 : 377,306.40 = 133,323.20 : x
  2. Step 2: Convert to fraction form
    251,806.40/377,306.40 = 133,323.20/x
  3. Step 3: Cross multiply
    251,806.40x = 377,306.40 × 133,323.20
  4. Step 4: Simplify right side
    251,806.40x = 50,303,696,628.48
  5. Step 5: Solve for x
    x = 50,303,696,628.48/251,806.40
  6. Step 6: Final answer
    x = 199,771.32

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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.