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Finding the Fourth Proportional to 261,258.54, 360,198.39 and 169,214.07

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Solution

The fourth proportional to 261,258.54, 360,198.39 and 169,214.07 is: 233,296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,258.54 : 360,198.39 = 169,214.07 : x
  2. Step 2: Convert to fraction form
    261,258.54/360,198.39 = 169,214.07/x
  3. Step 3: Cross multiply
    261,258.54x = 360,198.39 × 169,214.07
  4. Step 4: Simplify right side
    261,258.54x = 60,950,635,579.35
  5. Step 5: Solve for x
    x = 60,950,635,579.35/261,258.54
  6. Step 6: Final answer
    x = 233,296.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.