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Finding the Fourth Proportional to 147,084.40, 218,963.30 and 146,209.60

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Solution

The fourth proportional to 147,084.40, 218,963.30 and 146,209.60 is: 217,660.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,084.40 : 218,963.30 = 146,209.60 : x
  2. Step 2: Convert to fraction form
    147,084.40/218,963.30 = 146,209.60/x
  3. Step 3: Cross multiply
    147,084.40x = 218,963.30 × 146,209.60
  4. Step 4: Simplify right side
    147,084.40x = 32,014,536,507.68
  5. Step 5: Solve for x
    x = 32,014,536,507.68/147,084.40
  6. Step 6: Final answer
    x = 217,660.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.