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Finding the Fourth Proportional to 200,871.50, 301,324.93 and 74,513.12

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Solution

The fourth proportional to 200,871.50, 301,324.93 and 74,513.12 is: 111,776.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,871.50 : 301,324.93 = 74,513.12 : x
  2. Step 2: Convert to fraction form
    200,871.50/301,324.93 = 74,513.12/x
  3. Step 3: Cross multiply
    200,871.50x = 301,324.93 × 74,513.12
  4. Step 4: Simplify right side
    200,871.50x = 22,452,658,975.17
  5. Step 5: Solve for x
    x = 22,452,658,975.17/200,871.50
  6. Step 6: Final answer
    x = 111,776.23

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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.