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Finding the Fourth Proportional to 224,592.90, 309,568.93 and 159,203.62

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Solution

The fourth proportional to 224,592.90, 309,568.93 and 159,203.62 is: 219,439.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,592.90 : 309,568.93 = 159,203.62 : x
  2. Step 2: Convert to fraction form
    224,592.90/309,568.93 = 159,203.62/x
  3. Step 3: Cross multiply
    224,592.90x = 309,568.93 × 159,203.62
  4. Step 4: Simplify right side
    224,592.90x = 49,284,494,295.53
  5. Step 5: Solve for x
    x = 49,284,494,295.53/224,592.90
  6. Step 6: Final answer
    x = 219,439.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.