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Finding the Fourth Proportional to 210,104.60, 315,176.46 and 83,714.36

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Solution

The fourth proportional to 210,104.60, 315,176.46 and 83,714.36 is: 125,579.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,104.60 : 315,176.46 = 83,714.36 : x
  2. Step 2: Convert to fraction form
    210,104.60/315,176.46 = 83,714.36/x
  3. Step 3: Cross multiply
    210,104.60x = 315,176.46 × 83,714.36
  4. Step 4: Simplify right side
    210,104.60x = 26,384,795,635.97
  5. Step 5: Solve for x
    x = 26,384,795,635.97/210,104.60
  6. Step 6: Final answer
    x = 125,579.33

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