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Finding the Fourth Proportional to 364,597.50, 547,139.34 and 140,143.26

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Solution

The fourth proportional to 364,597.50, 547,139.34 and 140,143.26 is: 210,308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,597.50 : 547,139.34 = 140,143.26 : x
  2. Step 2: Convert to fraction form
    364,597.50/547,139.34 = 140,143.26/x
  3. Step 3: Cross multiply
    364,597.50x = 547,139.34 × 140,143.26
  4. Step 4: Simplify right side
    364,597.50x = 76,677,890,781.85
  5. Step 5: Solve for x
    x = 76,677,890,781.85/364,597.50
  6. Step 6: Final answer
    x = 210,308.33

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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.