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Finding the Fourth Proportional to 205,658.56, 308,374.80 and 63,465.05

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Solution

The fourth proportional to 205,658.56, 308,374.80 and 63,465.05 is: 95,162.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,658.56 : 308,374.80 = 63,465.05 : x
  2. Step 2: Convert to fraction form
    205,658.56/308,374.80 = 63,465.05/x
  3. Step 3: Cross multiply
    205,658.56x = 308,374.80 × 63,465.05
  4. Step 4: Simplify right side
    205,658.56x = 19,571,022,633.68
  5. Step 5: Solve for x
    x = 19,571,022,633.68/205,658.56
  6. Step 6: Final answer
    x = 95,162.69

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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.