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Finding the Fourth Proportional to 133,817.97, 200,663.40 and 77,675.41

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Solution

The fourth proportional to 133,817.97, 200,663.40 and 77,675.41 is: 116,476.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,817.97 : 200,663.40 = 77,675.41 : x
  2. Step 2: Convert to fraction form
    133,817.97/200,663.40 = 77,675.41/x
  3. Step 3: Cross multiply
    133,817.97x = 200,663.40 × 77,675.41
  4. Step 4: Simplify right side
    133,817.97x = 15,586,611,061.91
  5. Step 5: Solve for x
    x = 15,586,611,061.91/133,817.97
  6. Step 6: Final answer
    x = 116,476.21

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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.