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Finding the Fourth Proportional to 203,522.64, 280,863.56 and 112,880.40

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Solution

The fourth proportional to 203,522.64, 280,863.56 and 112,880.40 is: 155,776.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,522.64 : 280,863.56 = 112,880.40 : x
  2. Step 2: Convert to fraction form
    203,522.64/280,863.56 = 112,880.40/x
  3. Step 3: Cross multiply
    203,522.64x = 280,863.56 × 112,880.40
  4. Step 4: Simplify right side
    203,522.64x = 31,703,990,998.22
  5. Step 5: Solve for x
    x = 31,703,990,998.22/203,522.64
  6. Step 6: Final answer
    x = 155,776.24

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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.