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Finding the Fourth Proportional to 224,434.25, 309,725.75 and 123,838.73

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Solution

The fourth proportional to 224,434.25, 309,725.75 and 123,838.73 is: 170,901.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,434.25 : 309,725.75 = 123,838.73 : x
  2. Step 2: Convert to fraction form
    224,434.25/309,725.75 = 123,838.73/x
  3. Step 3: Cross multiply
    224,434.25x = 309,725.75 × 123,838.73
  4. Step 4: Simplify right side
    224,434.25x = 38,356,043,528.30
  5. Step 5: Solve for x
    x = 38,356,043,528.30/224,434.25
  6. Step 6: Final answer
    x = 170,901.03

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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.