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Finding the Fourth Proportional to 208,843.06, 288,203.64 and 113,349.80

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Solution

The fourth proportional to 208,843.06, 288,203.64 and 113,349.80 is: 156,422.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,843.06 : 288,203.64 = 113,349.80 : x
  2. Step 2: Convert to fraction form
    208,843.06/288,203.64 = 113,349.80/x
  3. Step 3: Cross multiply
    208,843.06x = 288,203.64 × 113,349.80
  4. Step 4: Simplify right side
    208,843.06x = 32,667,824,953.27
  5. Step 5: Solve for x
    x = 32,667,824,953.27/208,843.06
  6. Step 6: Final answer
    x = 156,422.84

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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.