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Finding the Fourth Proportional to 133,476.84, 200,215.35 and 39,982.50

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Solution

The fourth proportional to 133,476.84, 200,215.35 and 39,982.50 is: 59,973.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,476.84 : 200,215.35 = 39,982.50 : x
  2. Step 2: Convert to fraction form
    133,476.84/200,215.35 = 39,982.50/x
  3. Step 3: Cross multiply
    133,476.84x = 200,215.35 × 39,982.50
  4. Step 4: Simplify right side
    133,476.84x = 8,005,110,231.38
  5. Step 5: Solve for x
    x = 8,005,110,231.38/133,476.84
  6. Step 6: Final answer
    x = 59,973.78

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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.