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Finding the Fourth Proportional to 223,543.41, 335,462.82 and 105,248.58

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Solution

The fourth proportional to 223,543.41, 335,462.82 and 105,248.58 is: 157,942.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,543.41 : 335,462.82 = 105,248.58 : x
  2. Step 2: Convert to fraction form
    223,543.41/335,462.82 = 105,248.58/x
  3. Step 3: Cross multiply
    223,543.41x = 335,462.82 × 105,248.58
  4. Step 4: Simplify right side
    223,543.41x = 35,306,985,447.80
  5. Step 5: Solve for x
    x = 35,306,985,447.80/223,543.41
  6. Step 6: Final answer
    x = 157,942.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.