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Finding the Fourth Proportional to 133,701.77, 200,164.91 and 104,029.65

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Solution

The fourth proportional to 133,701.77, 200,164.91 and 104,029.65 is: 155,742.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,701.77 : 200,164.91 = 104,029.65 : x
  2. Step 2: Convert to fraction form
    133,701.77/200,164.91 = 104,029.65/x
  3. Step 3: Cross multiply
    133,701.77x = 200,164.91 × 104,029.65
  4. Step 4: Simplify right side
    133,701.77x = 20,823,085,009.43
  5. Step 5: Solve for x
    x = 20,823,085,009.43/133,701.77
  6. Step 6: Final answer
    x = 155,742.77

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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.