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Finding the Fourth Proportional to 238,618.50, 329,022.99 and 152,463.66

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Solution

The fourth proportional to 238,618.50, 329,022.99 and 152,463.66 is: 210,226.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,618.50 : 329,022.99 = 152,463.66 : x
  2. Step 2: Convert to fraction form
    238,618.50/329,022.99 = 152,463.66/x
  3. Step 3: Cross multiply
    238,618.50x = 329,022.99 × 152,463.66
  4. Step 4: Simplify right side
    238,618.50x = 50,164,049,279.54
  5. Step 5: Solve for x
    x = 50,164,049,279.54/238,618.50
  6. Step 6: Final answer
    x = 210,226.99

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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.