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Finding the Fourth Proportional to 205,784.53, 308,832.31 and 87,539.11

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Solution

The fourth proportional to 205,784.53, 308,832.31 and 87,539.11 is: 131,374.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,784.53 : 308,832.31 = 87,539.11 : x
  2. Step 2: Convert to fraction form
    205,784.53/308,832.31 = 87,539.11/x
  3. Step 3: Cross multiply
    205,784.53x = 308,832.31 × 87,539.11
  4. Step 4: Simplify right side
    205,784.53x = 27,034,905,556.64
  5. Step 5: Solve for x
    x = 27,034,905,556.64/205,784.53
  6. Step 6: Final answer
    x = 131,374.82

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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.