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Finding the Fourth Proportional to 133,783.84, 200,659.36 and 77,654.48

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Solution

The fourth proportional to 133,783.84, 200,659.36 and 77,654.48 is: 116,472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,783.84 : 200,659.36 = 77,654.48 : x
  2. Step 2: Convert to fraction form
    133,783.84/200,659.36 = 77,654.48/x
  3. Step 3: Cross multiply
    133,783.84x = 200,659.36 × 77,654.48
  4. Step 4: Simplify right side
    133,783.84x = 15,582,098,257.93
  5. Step 5: Solve for x
    x = 15,582,098,257.93/133,783.84
  6. Step 6: Final answer
    x = 116,472.20

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Why These Related Problems?

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