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Finding the Fourth Proportional to 272,690.61, 409,222.74 and 95,197.61

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Solution

The fourth proportional to 272,690.61, 409,222.74 and 95,197.61 is: 142,861.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,690.61 : 409,222.74 = 95,197.61 : x
  2. Step 2: Convert to fraction form
    272,690.61/409,222.74 = 95,197.61/x
  3. Step 3: Cross multiply
    272,690.61x = 409,222.74 × 95,197.61
  4. Step 4: Simplify right side
    272,690.61x = 38,957,028,185.70
  5. Step 5: Solve for x
    x = 38,957,028,185.70/272,690.61
  6. Step 6: Final answer
    x = 142,861.64

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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.