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Finding the Fourth Proportional to 200,446.44, 299,973.42 and 124,513.80

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Solution

The fourth proportional to 200,446.44, 299,973.42 and 124,513.80 is: 186,338.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,446.44 : 299,973.42 = 124,513.80 : x
  2. Step 2: Convert to fraction form
    200,446.44/299,973.42 = 124,513.80/x
  3. Step 3: Cross multiply
    200,446.44x = 299,973.42 × 124,513.80
  4. Step 4: Simplify right side
    200,446.44x = 37,350,830,423.20
  5. Step 5: Solve for x
    x = 37,350,830,423.20/200,446.44
  6. Step 6: Final answer
    x = 186,338.21

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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.