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Finding the Fourth Proportional to 205,175.40, 307,719.90 and 86,850.60

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Solution

The fourth proportional to 205,175.40, 307,719.90 and 86,850.60 is: 130,257.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,175.40 : 307,719.90 = 86,850.60 : x
  2. Step 2: Convert to fraction form
    205,175.40/307,719.90 = 86,850.60/x
  3. Step 3: Cross multiply
    205,175.40x = 307,719.90 × 86,850.60
  4. Step 4: Simplify right side
    205,175.40x = 26,725,657,946.94
  5. Step 5: Solve for x
    x = 26,725,657,946.94/205,175.40
  6. Step 6: Final answer
    x = 130,257.61

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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.