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Finding the Fourth Proportional to 235,668.35, 353,557.89 and 77,896.81

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Solution

The fourth proportional to 235,668.35, 353,557.89 and 77,896.81 is: 116,863.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,668.35 : 353,557.89 = 77,896.81 : x
  2. Step 2: Convert to fraction form
    235,668.35/353,557.89 = 77,896.81/x
  3. Step 3: Cross multiply
    235,668.35x = 353,557.89 × 77,896.81
  4. Step 4: Simplify right side
    235,668.35x = 27,541,031,781.33
  5. Step 5: Solve for x
    x = 27,541,031,781.33/235,668.35
  6. Step 6: Final answer
    x = 116,863.52

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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.