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Finding the Fourth Proportional to 203,522.88, 280,859.76 and 114,098.88

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Solution

The fourth proportional to 203,522.88, 280,859.76 and 114,098.88 is: 157,455.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,522.88 : 280,859.76 = 114,098.88 : x
  2. Step 2: Convert to fraction form
    203,522.88/280,859.76 = 114,098.88/x
  3. Step 3: Cross multiply
    203,522.88x = 280,859.76 × 114,098.88
  4. Step 4: Simplify right side
    203,522.88x = 32,045,784,053.07
  5. Step 5: Solve for x
    x = 32,045,784,053.07/203,522.88
  6. Step 6: Final answer
    x = 157,455.44

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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.