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Finding the Fourth Proportional to 200,968.02, 301,502.16 and 74,644.20

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Solution

The fourth proportional to 200,968.02, 301,502.16 and 74,644.20 is: 111,984.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,968.02 : 301,502.16 = 74,644.20 : x
  2. Step 2: Convert to fraction form
    200,968.02/301,502.16 = 74,644.20/x
  3. Step 3: Cross multiply
    200,968.02x = 301,502.16 × 74,644.20
  4. Step 4: Simplify right side
    200,968.02x = 22,505,387,531.47
  5. Step 5: Solve for x
    x = 22,505,387,531.47/200,968.02
  6. Step 6: Final answer
    x = 111,984.92

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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.