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Finding the Fourth Proportional to 231,784.91, 319,808.36 and 131,182.91

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Solution

The fourth proportional to 231,784.91, 319,808.36 and 131,182.91 is: 181,001.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,784.91 : 319,808.36 = 131,182.91 : x
  2. Step 2: Convert to fraction form
    231,784.91/319,808.36 = 131,182.91/x
  3. Step 3: Cross multiply
    231,784.91x = 319,808.36 × 131,182.91
  4. Step 4: Simplify right side
    231,784.91x = 41,953,390,651.21
  5. Step 5: Solve for x
    x = 41,953,390,651.21/231,784.91
  6. Step 6: Final answer
    x = 181,001.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.