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Finding the Fourth Proportional to 200,354.80, 276,449.88 and 114,311.56

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Solution

The fourth proportional to 200,354.80, 276,449.88 and 114,311.56 is: 157,727.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,354.80 : 276,449.88 = 114,311.56 : x
  2. Step 2: Convert to fraction form
    200,354.80/276,449.88 = 114,311.56/x
  3. Step 3: Cross multiply
    200,354.80x = 276,449.88 × 114,311.56
  4. Step 4: Simplify right side
    200,354.80x = 31,601,417,044.61
  5. Step 5: Solve for x
    x = 31,601,417,044.61/200,354.80
  6. Step 6: Final answer
    x = 157,727.28

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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.