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Finding the Fourth Proportional to 133,780.83, 200,701.97 and 45,031.97

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Solution

The fourth proportional to 133,780.83, 200,701.97 and 45,031.97 is: 67,558.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,780.83 : 200,701.97 = 45,031.97 : x
  2. Step 2: Convert to fraction form
    133,780.83/200,701.97 = 45,031.97/x
  3. Step 3: Cross multiply
    133,780.83x = 200,701.97 × 45,031.97
  4. Step 4: Simplify right side
    133,780.83x = 9,038,003,863.31
  5. Step 5: Solve for x
    x = 9,038,003,863.31/133,780.83
  6. Step 6: Final answer
    x = 67,558.29

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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.