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Finding the Fourth Proportional to 235,917.69, 353,970.09 and 86,167.74

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Solution

The fourth proportional to 235,917.69, 353,970.09 and 86,167.74 is: 129,285.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,917.69 : 353,970.09 = 86,167.74 : x
  2. Step 2: Convert to fraction form
    235,917.69/353,970.09 = 86,167.74/x
  3. Step 3: Cross multiply
    235,917.69x = 353,970.09 × 86,167.74
  4. Step 4: Simplify right side
    235,917.69x = 30,500,802,682.90
  5. Step 5: Solve for x
    x = 30,500,802,682.90/235,917.69
  6. Step 6: Final answer
    x = 129,285.78

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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.