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Finding the Fourth Proportional to 235,104.82, 324,543.98 and 158,727.38

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Solution

The fourth proportional to 235,104.82, 324,543.98 and 158,727.38 is: 219,110.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,104.82 : 324,543.98 = 158,727.38 : x
  2. Step 2: Convert to fraction form
    235,104.82/324,543.98 = 158,727.38/x
  3. Step 3: Cross multiply
    235,104.82x = 324,543.98 × 158,727.38
  4. Step 4: Simplify right side
    235,104.82x = 51,514,014,880.63
  5. Step 5: Solve for x
    x = 51,514,014,880.63/235,104.82
  6. Step 6: Final answer
    x = 219,110.84

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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.