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Finding the Fourth Proportional to 265,709.16, 398,563.20 and 107,900.64

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Solution

The fourth proportional to 265,709.16, 398,563.20 and 107,900.64 is: 161,850.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,709.16 : 398,563.20 = 107,900.64 : x
  2. Step 2: Convert to fraction form
    265,709.16/398,563.20 = 107,900.64/x
  3. Step 3: Cross multiply
    265,709.16x = 398,563.20 × 107,900.64
  4. Step 4: Simplify right side
    265,709.16x = 43,005,224,360.45
  5. Step 5: Solve for x
    x = 43,005,224,360.45/265,709.16
  6. Step 6: Final answer
    x = 161,850.74

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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.