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Finding the Fourth Proportional to 138,003.80, 207,005.70 and 115,696.40

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Solution

The fourth proportional to 138,003.80, 207,005.70 and 115,696.40 is: 173,544.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,003.80 : 207,005.70 = 115,696.40 : x
  2. Step 2: Convert to fraction form
    138,003.80/207,005.70 = 115,696.40/x
  3. Step 3: Cross multiply
    138,003.80x = 207,005.70 × 115,696.40
  4. Step 4: Simplify right side
    138,003.80x = 23,949,814,269.48
  5. Step 5: Solve for x
    x = 23,949,814,269.48/138,003.80
  6. Step 6: Final answer
    x = 173,544.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.