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Finding the Fourth Proportional to 231,951.52, 319,381.32 and 203,106.16

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Solution

The fourth proportional to 231,951.52, 319,381.32 and 203,106.16 is: 279,663.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,951.52 : 319,381.32 = 203,106.16 : x
  2. Step 2: Convert to fraction form
    231,951.52/319,381.32 = 203,106.16/x
  3. Step 3: Cross multiply
    231,951.52x = 319,381.32 × 203,106.16
  4. Step 4: Simplify right side
    231,951.52x = 64,868,313,480.93
  5. Step 5: Solve for x
    x = 64,868,313,480.93/231,951.52
  6. Step 6: Final answer
    x = 279,663.24

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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.