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Finding the Fourth Proportional to 255,356.31, 352,013.64 and 163,462.07

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Solution

The fourth proportional to 255,356.31, 352,013.64 and 163,462.07 is: 225,335.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,356.31 : 352,013.64 = 163,462.07 : x
  2. Step 2: Convert to fraction form
    255,356.31/352,013.64 = 163,462.07/x
  3. Step 3: Cross multiply
    255,356.31x = 352,013.64 × 163,462.07
  4. Step 4: Simplify right side
    255,356.31x = 57,540,876,502.57
  5. Step 5: Solve for x
    x = 57,540,876,502.57/255,356.31
  6. Step 6: Final answer
    x = 225,335.64

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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.