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Finding the Fourth Proportional to 265,652.16, 398,548.80 and 107,794.56

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Solution

The fourth proportional to 265,652.16, 398,548.80 and 107,794.56 is: 161,720.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,652.16 : 398,548.80 = 107,794.56 : x
  2. Step 2: Convert to fraction form
    265,652.16/398,548.80 = 107,794.56/x
  3. Step 3: Cross multiply
    265,652.16x = 398,548.80 × 107,794.56
  4. Step 4: Simplify right side
    265,652.16x = 42,961,392,534.53
  5. Step 5: Solve for x
    x = 42,961,392,534.53/265,652.16
  6. Step 6: Final answer
    x = 161,720.47

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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.