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Finding the Fourth Proportional to 235,464.91, 353,209.61 and 77,705.66

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Solution

The fourth proportional to 235,464.91, 353,209.61 and 77,705.66 is: 116,562.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,464.91 : 353,209.61 = 77,705.66 : x
  2. Step 2: Convert to fraction form
    235,464.91/353,209.61 = 77,705.66/x
  3. Step 3: Cross multiply
    235,464.91x = 353,209.61 × 77,705.66
  4. Step 4: Simplify right side
    235,464.91x = 27,446,386,940.68
  5. Step 5: Solve for x
    x = 27,446,386,940.68/235,464.91
  6. Step 6: Final answer
    x = 116,562.54

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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.