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Finding the Fourth Proportional to 200,097.20, 299,742.60 and 124,986.80

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Solution

The fourth proportional to 200,097.20, 299,742.60 and 124,986.80 is: 187,228.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,097.20 : 299,742.60 = 124,986.80 : x
  2. Step 2: Convert to fraction form
    200,097.20/299,742.60 = 124,986.80/x
  3. Step 3: Cross multiply
    200,097.20x = 299,742.60 × 124,986.80
  4. Step 4: Simplify right side
    200,097.20x = 37,463,868,397.68
  5. Step 5: Solve for x
    x = 37,463,868,397.68/200,097.20
  6. Step 6: Final answer
    x = 187,228.35

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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.