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Finding the Fourth Proportional to 140,861.87, 211,300.50 and 35,681.75

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Solution

The fourth proportional to 140,861.87, 211,300.50 and 35,681.75 is: 53,524.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,861.87 : 211,300.50 = 35,681.75 : x
  2. Step 2: Convert to fraction form
    140,861.87/211,300.50 = 35,681.75/x
  3. Step 3: Cross multiply
    140,861.87x = 211,300.50 × 35,681.75
  4. Step 4: Simplify right side
    140,861.87x = 7,539,571,615.88
  5. Step 5: Solve for x
    x = 7,539,571,615.88/140,861.87
  6. Step 6: Final answer
    x = 53,524.57

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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.