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Finding the Fourth Proportional to 265,507.66, 398,175.38 and 87,967

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Solution

The fourth proportional to 265,507.66, 398,175.38 and 87,967 is: 131,921.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,507.66 : 398,175.38 = 87,967 : x
  2. Step 2: Convert to fraction form
    265,507.66/398,175.38 = 87,967/x
  3. Step 3: Cross multiply
    265,507.66x = 398,175.38 × 87,967
  4. Step 4: Simplify right side
    265,507.66x = 35,026,293,652.46
  5. Step 5: Solve for x
    x = 35,026,293,652.46/265,507.66
  6. Step 6: Final answer
    x = 131,921.97

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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.