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Finding the Fourth Proportional to 224,361.92, 309,652.96 and 143,880.32

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Solution

The fourth proportional to 224,361.92, 309,652.96 and 143,880.32 is: 198,576.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,361.92 : 309,652.96 = 143,880.32 : x
  2. Step 2: Convert to fraction form
    224,361.92/309,652.96 = 143,880.32/x
  3. Step 3: Cross multiply
    224,361.92x = 309,652.96 × 143,880.32
  4. Step 4: Simplify right side
    224,361.92x = 44,552,966,973.75
  5. Step 5: Solve for x
    x = 44,552,966,973.75/224,361.92
  6. Step 6: Final answer
    x = 198,576.33

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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.