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Finding the Fourth Proportional to 224,438.25, 309,724.80 and 123,836.25

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Solution

The fourth proportional to 224,438.25, 309,724.80 and 123,836.25 is: 170,894.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,438.25 : 309,724.80 = 123,836.25 : x
  2. Step 2: Convert to fraction form
    224,438.25/309,724.80 = 123,836.25/x
  3. Step 3: Cross multiply
    224,438.25x = 309,724.80 × 123,836.25
  4. Step 4: Simplify right side
    224,438.25x = 38,355,157,764
  5. Step 5: Solve for x
    x = 38,355,157,764/224,438.25
  6. Step 6: Final answer
    x = 170,894.03

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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.