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Finding the Fourth Proportional to 123,685.56, 170,605.38 and 78,316.26

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Solution

The fourth proportional to 123,685.56, 170,605.38 and 78,316.26 is: 108,025.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,685.56 : 170,605.38 = 78,316.26 : x
  2. Step 2: Convert to fraction form
    123,685.56/170,605.38 = 78,316.26/x
  3. Step 3: Cross multiply
    123,685.56x = 170,605.38 × 78,316.26
  4. Step 4: Simplify right side
    123,685.56x = 13,361,175,297.48
  5. Step 5: Solve for x
    x = 13,361,175,297.48/123,685.56
  6. Step 6: Final answer
    x = 108,025.35

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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.