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Finding the Fourth Proportional to 133,577.70, 200,048.52 and 77,299.17

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Solution

The fourth proportional to 133,577.70, 200,048.52 and 77,299.17 is: 115,764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,577.70 : 200,048.52 = 77,299.17 : x
  2. Step 2: Convert to fraction form
    133,577.70/200,048.52 = 77,299.17/x
  3. Step 3: Cross multiply
    133,577.70x = 200,048.52 × 77,299.17
  4. Step 4: Simplify right side
    133,577.70x = 15,463,584,555.73
  5. Step 5: Solve for x
    x = 15,463,584,555.73/133,577.70
  6. Step 6: Final answer
    x = 115,764.72

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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.