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Finding the Fourth Proportional to 403,314.42, 605,062.68 and 133,441.92

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Solution

The fourth proportional to 403,314.42, 605,062.68 and 133,441.92 is: 200,193.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,314.42 : 605,062.68 = 133,441.92 : x
  2. Step 2: Convert to fraction form
    403,314.42/605,062.68 = 133,441.92/x
  3. Step 3: Cross multiply
    403,314.42x = 605,062.68 × 133,441.92
  4. Step 4: Simplify right side
    403,314.42x = 80,740,725,739.55
  5. Step 5: Solve for x
    x = 80,740,725,739.55/403,314.42
  6. Step 6: Final answer
    x = 200,193.01

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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.