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Finding the Fourth Proportional to 223,691.85, 308,540.21 and 186,796.35

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Solution

The fourth proportional to 223,691.85, 308,540.21 and 186,796.35 is: 257,649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,691.85 : 308,540.21 = 186,796.35 : x
  2. Step 2: Convert to fraction form
    223,691.85/308,540.21 = 186,796.35/x
  3. Step 3: Cross multiply
    223,691.85x = 308,540.21 × 186,796.35
  4. Step 4: Simplify right side
    223,691.85x = 57,634,184,122.25
  5. Step 5: Solve for x
    x = 57,634,184,122.25/223,691.85
  6. Step 6: Final answer
    x = 257,649.91

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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.