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Finding the Fourth Proportional to 365,134.68, 547,696.10 and 140,543.88

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Solution

The fourth proportional to 365,134.68, 547,696.10 and 140,543.88 is: 210,813.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,134.68 : 547,696.10 = 140,543.88 : x
  2. Step 2: Convert to fraction form
    365,134.68/547,696.10 = 140,543.88/x
  3. Step 3: Cross multiply
    365,134.68x = 547,696.10 × 140,543.88
  4. Step 4: Simplify right side
    365,134.68x = 76,975,334,954.87
  5. Step 5: Solve for x
    x = 76,975,334,954.87/365,134.68
  6. Step 6: Final answer
    x = 210,813.54

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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.