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Finding the Fourth Proportional to 265,846.96, 398,609.78 and 105,947.50

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Solution

The fourth proportional to 265,846.96, 398,609.78 and 105,947.50 is: 158,857.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,846.96 : 398,609.78 = 105,947.50 : x
  2. Step 2: Convert to fraction form
    265,846.96/398,609.78 = 105,947.50/x
  3. Step 3: Cross multiply
    265,846.96x = 398,609.78 × 105,947.50
  4. Step 4: Simplify right side
    265,846.96x = 42,231,709,666.55
  5. Step 5: Solve for x
    x = 42,231,709,666.55/265,846.96
  6. Step 6: Final answer
    x = 158,857.22

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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.