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Finding the Fourth Proportional to 333,865.68, 500,821.60 and 134,186.24

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Solution

The fourth proportional to 333,865.68, 500,821.60 and 134,186.24 is: 201,288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,865.68 : 500,821.60 = 134,186.24 : x
  2. Step 2: Convert to fraction form
    333,865.68/500,821.60 = 134,186.24/x
  3. Step 3: Cross multiply
    333,865.68x = 500,821.60 × 134,186.24
  4. Step 4: Simplify right side
    333,865.68x = 67,203,367,414.78
  5. Step 5: Solve for x
    x = 67,203,367,414.78/333,865.68
  6. Step 6: Final answer
    x = 201,288.64

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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.