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Finding the Fourth Proportional to 265,773.84, 398,766.96 and 108,014.64

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Solution

The fourth proportional to 265,773.84, 398,766.96 and 108,014.64 is: 162,065.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,773.84 : 398,766.96 = 108,014.64 : x
  2. Step 2: Convert to fraction form
    265,773.84/398,766.96 = 108,014.64/x
  3. Step 3: Cross multiply
    265,773.84x = 398,766.96 × 108,014.64
  4. Step 4: Simplify right side
    265,773.84x = 43,072,669,628.29
  5. Step 5: Solve for x
    x = 43,072,669,628.29/265,773.84
  6. Step 6: Final answer
    x = 162,065.12

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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.