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Finding the Fourth Proportional to 231,879.30, 319,833.39 and 163,114.57

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Solution

The fourth proportional to 231,879.30, 319,833.39 and 163,114.57 is: 224,985.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,879.30 : 319,833.39 = 163,114.57 : x
  2. Step 2: Convert to fraction form
    231,879.30/319,833.39 = 163,114.57/x
  3. Step 3: Cross multiply
    231,879.30x = 319,833.39 × 163,114.57
  4. Step 4: Simplify right side
    231,879.30x = 52,169,485,881.49
  5. Step 5: Solve for x
    x = 52,169,485,881.49/231,879.30
  6. Step 6: Final answer
    x = 224,985.52

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