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Finding the Fourth Proportional to 140,894.03, 211,353.35 and 35,713

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Solution

The fourth proportional to 140,894.03, 211,353.35 and 35,713 is: 53,572.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,894.03 : 211,353.35 = 35,713 : x
  2. Step 2: Convert to fraction form
    140,894.03/211,353.35 = 35,713/x
  3. Step 3: Cross multiply
    140,894.03x = 211,353.35 × 35,713
  4. Step 4: Simplify right side
    140,894.03x = 7,548,062,188.55
  5. Step 5: Solve for x
    x = 7,548,062,188.55/140,894.03
  6. Step 6: Final answer
    x = 53,572.62

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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.