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Finding the Fourth Proportional to 231,752.76, 319,823.34 and 151,231.80

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Solution

The fourth proportional to 231,752.76, 319,823.34 and 151,231.80 is: 208,702.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,752.76 : 319,823.34 = 151,231.80 : x
  2. Step 2: Convert to fraction form
    231,752.76/319,823.34 = 151,231.80/x
  3. Step 3: Cross multiply
    231,752.76x = 319,823.34 × 151,231.80
  4. Step 4: Simplify right side
    231,752.76x = 48,367,459,390.21
  5. Step 5: Solve for x
    x = 48,367,459,390.21/231,752.76
  6. Step 6: Final answer
    x = 208,702.84

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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.