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Finding the Fourth Proportional to 133,873.97, 200,537.55 and 74,741.13

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Solution

The fourth proportional to 133,873.97, 200,537.55 and 74,741.13 is: 111,959.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,873.97 : 200,537.55 = 74,741.13 : x
  2. Step 2: Convert to fraction form
    133,873.97/200,537.55 = 74,741.13/x
  3. Step 3: Cross multiply
    133,873.97x = 200,537.55 × 74,741.13
  4. Step 4: Simplify right side
    133,873.97x = 14,988,403,094.43
  5. Step 5: Solve for x
    x = 14,988,403,094.43/133,873.97
  6. Step 6: Final answer
    x = 111,959.06

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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.