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Finding the Fourth Proportional to 364,593.50, 547,133.34 and 140,139.26

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Solution

The fourth proportional to 364,593.50, 547,133.34 and 140,139.26 is: 210,302.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,593.50 : 547,133.34 = 140,139.26 : x
  2. Step 2: Convert to fraction form
    364,593.50/547,133.34 = 140,139.26/x
  3. Step 3: Cross multiply
    364,593.50x = 547,133.34 × 140,139.26
  4. Step 4: Simplify right side
    364,593.50x = 76,674,861,388.93
  5. Step 5: Solve for x
    x = 76,674,861,388.93/364,593.50
  6. Step 6: Final answer
    x = 210,302.33

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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.