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Finding the Fourth Proportional to 235,323.70, 352,909.71 and 77,514.58

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Solution

The fourth proportional to 235,323.70, 352,909.71 and 77,514.58 is: 116,246.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,323.70 : 352,909.71 = 77,514.58 : x
  2. Step 2: Convert to fraction form
    235,323.70/352,909.71 = 77,514.58/x
  3. Step 3: Cross multiply
    235,323.70x = 352,909.71 × 77,514.58
  4. Step 4: Simplify right side
    235,323.70x = 27,355,647,948.57
  5. Step 5: Solve for x
    x = 27,355,647,948.57/235,323.70
  6. Step 6: Final answer
    x = 116,246.89

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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.