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Finding the Fourth Proportional to 235,204.82, 324,582.90 and 127,774.82

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Solution

The fourth proportional to 235,204.82, 324,582.90 and 127,774.82 is: 176,329.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,204.82 : 324,582.90 = 127,774.82 : x
  2. Step 2: Convert to fraction form
    235,204.82/324,582.90 = 127,774.82/x
  3. Step 3: Cross multiply
    235,204.82x = 324,582.90 × 127,774.82
  4. Step 4: Simplify right side
    235,204.82x = 41,473,521,622.58
  5. Step 5: Solve for x
    x = 41,473,521,622.58/235,204.82
  6. Step 6: Final answer
    x = 176,329.39

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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.