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Finding the Fourth Proportional to 152,033, 227,952.89 and 133,350.55

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Solution

The fourth proportional to 152,033, 227,952.89 and 133,350.55 is: 199,941.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,033 : 227,952.89 = 133,350.55 : x
  2. Step 2: Convert to fraction form
    152,033/227,952.89 = 133,350.55/x
  3. Step 3: Cross multiply
    152,033x = 227,952.89 × 133,350.55
  4. Step 4: Simplify right side
    152,033x = 30,397,643,255.59
  5. Step 5: Solve for x
    x = 30,397,643,255.59/152,033
  6. Step 6: Final answer
    x = 199,941.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.