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Finding the Fourth Proportional to 268,963.39, 403,513.13 and 193,149.01

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Solution

The fourth proportional to 268,963.39, 403,513.13 and 193,149.01 is: 289,772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,963.39 : 403,513.13 = 193,149.01 : x
  2. Step 2: Convert to fraction form
    268,963.39/403,513.13 = 193,149.01/x
  3. Step 3: Cross multiply
    268,963.39x = 403,513.13 × 193,149.01
  4. Step 4: Simplify right side
    268,963.39x = 77,938,161,581.50
  5. Step 5: Solve for x
    x = 77,938,161,581.50/268,963.39
  6. Step 6: Final answer
    x = 289,772.38

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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.