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Finding the Fourth Proportional to 165,726.70, 228,695.47 and 96,822.55

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Solution

The fourth proportional to 165,726.70, 228,695.47 and 96,822.55 is: 133,610.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,726.70 : 228,695.47 = 96,822.55 : x
  2. Step 2: Convert to fraction form
    165,726.70/228,695.47 = 96,822.55/x
  3. Step 3: Cross multiply
    165,726.70x = 228,695.47 × 96,822.55
  4. Step 4: Simplify right side
    165,726.70x = 22,142,879,392.64
  5. Step 5: Solve for x
    x = 22,142,879,392.64/165,726.70
  6. Step 6: Final answer
    x = 133,610.81

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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.