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Finding the Fourth Proportional to 254,007.80, 381,007.92 and 61,884.44

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Solution

The fourth proportional to 254,007.80, 381,007.92 and 61,884.44 is: 92,825.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,007.80 : 381,007.92 = 61,884.44 : x
  2. Step 2: Convert to fraction form
    254,007.80/381,007.92 = 61,884.44/x
  3. Step 3: Cross multiply
    254,007.80x = 381,007.92 × 61,884.44
  4. Step 4: Simplify right side
    254,007.80x = 23,578,461,764.76
  5. Step 5: Solve for x
    x = 23,578,461,764.76/254,007.80
  6. Step 6: Final answer
    x = 92,825.74

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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.