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Finding the Fourth Proportional to 200,885.66, 301,318.75 and 74,550.53

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Solution

The fourth proportional to 200,885.66, 301,318.75 and 74,550.53 is: 111,822.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,885.66 : 301,318.75 = 74,550.53 : x
  2. Step 2: Convert to fraction form
    200,885.66/301,318.75 = 74,550.53/x
  3. Step 3: Cross multiply
    200,885.66x = 301,318.75 × 74,550.53
  4. Step 4: Simplify right side
    200,885.66x = 22,463,473,357.92
  5. Step 5: Solve for x
    x = 22,463,473,357.92/200,885.66
  6. Step 6: Final answer
    x = 111,822.19

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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.