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Finding the Fourth Proportional to 259,069.63, 388,618.32 and 81,590.47

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Solution

The fourth proportional to 259,069.63, 388,618.32 and 81,590.47 is: 122,390.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,069.63 : 388,618.32 = 81,590.47 : x
  2. Step 2: Convert to fraction form
    259,069.63/388,618.32 = 81,590.47/x
  3. Step 3: Cross multiply
    259,069.63x = 388,618.32 × 81,590.47
  4. Step 4: Simplify right side
    259,069.63x = 31,707,551,379.41
  5. Step 5: Solve for x
    x = 31,707,551,379.41/259,069.63
  6. Step 6: Final answer
    x = 122,390.07

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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.