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Finding the Fourth Proportional to 133,699.98, 200,545.86 and 54,754.75

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Solution

The fourth proportional to 133,699.98, 200,545.86 and 54,754.75 is: 82,130.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,699.98 : 200,545.86 = 54,754.75 : x
  2. Step 2: Convert to fraction form
    133,699.98/200,545.86 = 54,754.75/x
  3. Step 3: Cross multiply
    133,699.98x = 200,545.86 × 54,754.75
  4. Step 4: Simplify right side
    133,699.98x = 10,980,838,575.85
  5. Step 5: Solve for x
    x = 10,980,838,575.85/133,699.98
  6. Step 6: Final answer
    x = 82,130.44

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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.