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Finding the Fourth Proportional to 205,068.62, 283,016.58 and 114,456.08

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Solution

The fourth proportional to 205,068.62, 283,016.58 and 114,456.08 is: 157,961.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,068.62 : 283,016.58 = 114,456.08 : x
  2. Step 2: Convert to fraction form
    205,068.62/283,016.58 = 114,456.08/x
  3. Step 3: Cross multiply
    205,068.62x = 283,016.58 × 114,456.08
  4. Step 4: Simplify right side
    205,068.62x = 32,392,968,321.81
  5. Step 5: Solve for x
    x = 32,392,968,321.81/205,068.62
  6. Step 6: Final answer
    x = 157,961.60

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Why These Related Problems?

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