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Finding the Fourth Proportional to 133,829.70, 200,744.55 and 45,053.70

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Solution

The fourth proportional to 133,829.70, 200,744.55 and 45,053.70 is: 67,580.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,829.70 : 200,744.55 = 45,053.70 : x
  2. Step 2: Convert to fraction form
    133,829.70/200,744.55 = 45,053.70/x
  3. Step 3: Cross multiply
    133,829.70x = 200,744.55 × 45,053.70
  4. Step 4: Simplify right side
    133,829.70x = 9,044,284,732.34
  5. Step 5: Solve for x
    x = 9,044,284,732.34/133,829.70
  6. Step 6: Final answer
    x = 67,580.55

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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.