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Finding the Fourth Proportional to 257,826, 386,889.54 and 108,053.88

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Solution

The fourth proportional to 257,826, 386,889.54 and 108,053.88 is: 162,143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,826 : 386,889.54 = 108,053.88 : x
  2. Step 2: Convert to fraction form
    257,826/386,889.54 = 108,053.88/x
  3. Step 3: Cross multiply
    257,826x = 386,889.54 × 108,053.88
  4. Step 4: Simplify right side
    257,826x = 41,804,915,928.42
  5. Step 5: Solve for x
    x = 41,804,915,928.42/257,826
  6. Step 6: Final answer
    x = 162,143.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.