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Finding the Fourth Proportional to 254,634.48, 381,950.21 and 65,094.55

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Solution

The fourth proportional to 254,634.48, 381,950.21 and 65,094.55 is: 97,641.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,634.48 : 381,950.21 = 65,094.55 : x
  2. Step 2: Convert to fraction form
    254,634.48/381,950.21 = 65,094.55/x
  3. Step 3: Cross multiply
    254,634.48x = 381,950.21 × 65,094.55
  4. Step 4: Simplify right side
    254,634.48x = 24,862,876,523.61
  5. Step 5: Solve for x
    x = 24,862,876,523.61/254,634.48
  6. Step 6: Final answer
    x = 97,641.44

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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.