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Finding the Fourth Proportional to 205,313.34, 283,324.42 and 128,873.50

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Solution

The fourth proportional to 205,313.34, 283,324.42 and 128,873.50 is: 177,840.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,313.34 : 283,324.42 = 128,873.50 : x
  2. Step 2: Convert to fraction form
    205,313.34/283,324.42 = 128,873.50/x
  3. Step 3: Cross multiply
    205,313.34x = 283,324.42 × 128,873.50
  4. Step 4: Simplify right side
    205,313.34x = 36,513,009,640.87
  5. Step 5: Solve for x
    x = 36,513,009,640.87/205,313.34
  6. Step 6: Final answer
    x = 177,840.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.