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Finding the Fourth Proportional to 265,647.82, 398,534.02 and 105,733.44

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Solution

The fourth proportional to 265,647.82, 398,534.02 and 105,733.44 is: 158,624.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,647.82 : 398,534.02 = 105,733.44 : x
  2. Step 2: Convert to fraction form
    265,647.82/398,534.02 = 105,733.44/x
  3. Step 3: Cross multiply
    265,647.82x = 398,534.02 × 105,733.44
  4. Step 4: Simplify right side
    265,647.82x = 42,138,372,891.63
  5. Step 5: Solve for x
    x = 42,138,372,891.63/265,647.82
  6. Step 6: Final answer
    x = 158,624.95

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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.