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Finding the Fourth Proportional to 265,542.30, 398,497.41 and 105,601.85

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Solution

The fourth proportional to 265,542.30, 398,497.41 and 105,601.85 is: 158,475.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,542.30 : 398,497.41 = 105,601.85 : x
  2. Step 2: Convert to fraction form
    265,542.30/398,497.41 = 105,601.85/x
  3. Step 3: Cross multiply
    265,542.30x = 398,497.41 × 105,601.85
  4. Step 4: Simplify right side
    265,542.30x = 42,082,063,716.21
  5. Step 5: Solve for x
    x = 42,082,063,716.21/265,542.30
  6. Step 6: Final answer
    x = 158,475.93

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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.