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Finding the Fourth Proportional to 204,330, 306,527.80 and 77,965.14

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Solution

The fourth proportional to 204,330, 306,527.80 and 77,965.14 is: 116,960.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,330 : 306,527.80 = 77,965.14 : x
  2. Step 2: Convert to fraction form
    204,330/306,527.80 = 77,965.14/x
  3. Step 3: Cross multiply
    204,330x = 306,527.80 × 77,965.14
  4. Step 4: Simplify right side
    204,330x = 23,898,482,840.89
  5. Step 5: Solve for x
    x = 23,898,482,840.89/204,330
  6. Step 6: Final answer
    x = 116,960.23

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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.