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Finding the Fourth Proportional to 231,769.76, 319,846.80 and 151,248.80

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Solution

The fourth proportional to 231,769.76, 319,846.80 and 151,248.80 is: 208,726.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,769.76 : 319,846.80 = 151,248.80 : x
  2. Step 2: Convert to fraction form
    231,769.76/319,846.80 = 151,248.80/x
  3. Step 3: Cross multiply
    231,769.76x = 319,846.80 × 151,248.80
  4. Step 4: Simplify right side
    231,769.76x = 48,376,444,683.84
  5. Step 5: Solve for x
    x = 48,376,444,683.84/231,769.76
  6. Step 6: Final answer
    x = 208,726.30

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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.