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Finding the Fourth Proportional to 345,281.81, 476,502.14 and 200,092.55

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Solution

The fourth proportional to 345,281.81, 476,502.14 and 200,092.55 is: 276,135.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,281.81 : 476,502.14 = 200,092.55 : x
  2. Step 2: Convert to fraction form
    345,281.81/476,502.14 = 200,092.55/x
  3. Step 3: Cross multiply
    345,281.81x = 476,502.14 × 200,092.55
  4. Step 4: Simplify right side
    345,281.81x = 95,344,527,272.59
  5. Step 5: Solve for x
    x = 95,344,527,272.59/345,281.81
  6. Step 6: Final answer
    x = 276,135.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.