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Finding the Fourth Proportional to 205,883.93, 308,879.14 and 120,566.84

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Solution

The fourth proportional to 205,883.93, 308,879.14 and 120,566.84 is: 180,881.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,883.93 : 308,879.14 = 120,566.84 : x
  2. Step 2: Convert to fraction form
    205,883.93/308,879.14 = 120,566.84/x
  3. Step 3: Cross multiply
    205,883.93x = 308,879.14 × 120,566.84
  4. Step 4: Simplify right side
    205,883.93x = 37,240,581,851.72
  5. Step 5: Solve for x
    x = 37,240,581,851.72/205,883.93
  6. Step 6: Final answer
    x = 180,881.44

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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.