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Finding the Fourth Proportional to 205,119.96, 283,064.92 and 114,474.96

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Solution

The fourth proportional to 205,119.96, 283,064.92 and 114,474.96 is: 157,975.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,119.96 : 283,064.92 = 114,474.96 : x
  2. Step 2: Convert to fraction form
    205,119.96/283,064.92 = 114,474.96/x
  3. Step 3: Cross multiply
    205,119.96x = 283,064.92 × 114,474.96
  4. Step 4: Simplify right side
    205,119.96x = 32,403,845,394.40
  5. Step 5: Solve for x
    x = 32,403,845,394.40/205,119.96
  6. Step 6: Final answer
    x = 157,975.10

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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.