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Finding the Fourth Proportional to 260,405.65, 359,398.11 and 164,921.23

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Solution

The fourth proportional to 260,405.65, 359,398.11 and 164,921.23 is: 227,615.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,405.65 : 359,398.11 = 164,921.23 : x
  2. Step 2: Convert to fraction form
    260,405.65/359,398.11 = 164,921.23/x
  3. Step 3: Cross multiply
    260,405.65x = 359,398.11 × 164,921.23
  4. Step 4: Simplify right side
    260,405.65x = 59,272,378,360.88
  5. Step 5: Solve for x
    x = 59,272,378,360.88/260,405.65
  6. Step 6: Final answer
    x = 227,615.56

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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.