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Finding the Fourth Proportional to 260,768.57, 359,848.17 and 160,147.13

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Solution

The fourth proportional to 260,768.57, 359,848.17 and 160,147.13 is: 220,995.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,768.57 : 359,848.17 = 160,147.13 : x
  2. Step 2: Convert to fraction form
    260,768.57/359,848.17 = 160,147.13/x
  3. Step 3: Cross multiply
    260,768.57x = 359,848.17 × 160,147.13
  4. Step 4: Simplify right side
    260,768.57x = 57,628,651,661.25
  5. Step 5: Solve for x
    x = 57,628,651,661.25/260,768.57
  6. Step 6: Final answer
    x = 220,995.39

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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.