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Finding the Fourth Proportional to 225,642.65, 338,480.98 and 75,883.37

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Solution

The fourth proportional to 225,642.65, 338,480.98 and 75,883.37 is: 113,830.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,642.65 : 338,480.98 = 75,883.37 : x
  2. Step 2: Convert to fraction form
    225,642.65/338,480.98 = 75,883.37/x
  3. Step 3: Cross multiply
    225,642.65x = 338,480.98 × 75,883.37
  4. Step 4: Simplify right side
    225,642.65x = 25,685,075,561.19
  5. Step 5: Solve for x
    x = 25,685,075,561.19/225,642.65
  6. Step 6: Final answer
    x = 113,830.77

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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.