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Finding the Fourth Proportional to 265,971.60, 398,624.76 and 132,889.32

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Solution

The fourth proportional to 265,971.60, 398,624.76 and 132,889.32 is: 199,167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,971.60 : 398,624.76 = 132,889.32 : x
  2. Step 2: Convert to fraction form
    265,971.60/398,624.76 = 132,889.32/x
  3. Step 3: Cross multiply
    265,971.60x = 398,624.76 × 132,889.32
  4. Step 4: Simplify right side
    265,971.60x = 52,972,973,291.56
  5. Step 5: Solve for x
    x = 52,972,973,291.56/265,971.60
  6. Step 6: Final answer
    x = 199,167.78

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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.