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Finding the Fourth Proportional to 205,843.66, 308,950.01 and 172,319.52

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Solution

The fourth proportional to 205,843.66, 308,950.01 and 172,319.52 is: 258,633.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,843.66 : 308,950.01 = 172,319.52 : x
  2. Step 2: Convert to fraction form
    205,843.66/308,950.01 = 172,319.52/x
  3. Step 3: Cross multiply
    205,843.66x = 308,950.01 × 172,319.52
  4. Step 4: Simplify right side
    205,843.66x = 53,238,117,601.81
  5. Step 5: Solve for x
    x = 53,238,117,601.81/205,843.66
  6. Step 6: Final answer
    x = 258,633.75

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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.