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Finding the Fourth Proportional to 301,261.56, 415,726.92 and 165,292.44

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Solution

The fourth proportional to 301,261.56, 415,726.92 and 165,292.44 is: 228,095.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,261.56 : 415,726.92 = 165,292.44 : x
  2. Step 2: Convert to fraction form
    301,261.56/415,726.92 = 165,292.44/x
  3. Step 3: Cross multiply
    301,261.56x = 415,726.92 × 165,292.44
  4. Step 4: Simplify right side
    301,261.56x = 68,716,516,980.48
  5. Step 5: Solve for x
    x = 68,716,516,980.48/301,261.56
  6. Step 6: Final answer
    x = 228,095.87

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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.