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Finding the Fourth Proportional to 205,111.54, 283,068.12 and 114,485.20

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Solution

The fourth proportional to 205,111.54, 283,068.12 and 114,485.20 is: 157,997.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,111.54 : 283,068.12 = 114,485.20 : x
  2. Step 2: Convert to fraction form
    205,111.54/283,068.12 = 114,485.20/x
  3. Step 3: Cross multiply
    205,111.54x = 283,068.12 × 114,485.20
  4. Step 4: Simplify right side
    205,111.54x = 32,407,109,409.49
  5. Step 5: Solve for x
    x = 32,407,109,409.49/205,111.54
  6. Step 6: Final answer
    x = 157,997.49

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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.