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Finding the Fourth Proportional to 260,614.84, 359,687.16 and 165,130.48

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Solution

The fourth proportional to 260,614.84, 359,687.16 and 165,130.48 is: 227,904.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,614.84 : 359,687.16 = 165,130.48 : x
  2. Step 2: Convert to fraction form
    260,614.84/359,687.16 = 165,130.48/x
  3. Step 3: Cross multiply
    260,614.84x = 359,687.16 × 165,130.48
  4. Step 4: Simplify right side
    260,614.84x = 59,395,313,380.64
  5. Step 5: Solve for x
    x = 59,395,313,380.64/260,614.84
  6. Step 6: Final answer
    x = 227,904.57

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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.