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Finding the Fourth Proportional to 218,915.10, 327,643.65 and 158,772.60

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Solution

The fourth proportional to 218,915.10, 327,643.65 and 158,772.60 is: 237,630.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,915.10 : 327,643.65 = 158,772.60 : x
  2. Step 2: Convert to fraction form
    218,915.10/327,643.65 = 158,772.60/x
  3. Step 3: Cross multiply
    218,915.10x = 327,643.65 × 158,772.60
  4. Step 4: Simplify right side
    218,915.10x = 52,020,834,183.99
  5. Step 5: Solve for x
    x = 52,020,834,183.99/218,915.10
  6. Step 6: Final answer
    x = 237,630.18

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Why These Related Problems?

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