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Finding the Fourth Proportional to 224,014.84, 335,905.56 and 105,654.40

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Solution

The fourth proportional to 224,014.84, 335,905.56 and 105,654.40 is: 158,426.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,014.84 : 335,905.56 = 105,654.40 : x
  2. Step 2: Convert to fraction form
    224,014.84/335,905.56 = 105,654.40/x
  3. Step 3: Cross multiply
    224,014.84x = 335,905.56 × 105,654.40
  4. Step 4: Simplify right side
    224,014.84x = 35,489,900,398.46
  5. Step 5: Solve for x
    x = 35,489,900,398.46/224,014.84
  6. Step 6: Final answer
    x = 158,426.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.