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Finding the Fourth Proportional to 200,322.25, 300,275.67 and 125,270.08

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Solution

The fourth proportional to 200,322.25, 300,275.67 and 125,270.08 is: 187,775.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,322.25 : 300,275.67 = 125,270.08 : x
  2. Step 2: Convert to fraction form
    200,322.25/300,275.67 = 125,270.08/x
  3. Step 3: Cross multiply
    200,322.25x = 300,275.67 × 125,270.08
  4. Step 4: Simplify right side
    200,322.25x = 37,615,556,922.03
  5. Step 5: Solve for x
    x = 37,615,556,922.03/200,322.25
  6. Step 6: Final answer
    x = 187,775.23

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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.