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Finding the Fourth Proportional to 201,943.92, 278,682.84 and 117,110.28

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Solution

The fourth proportional to 201,943.92, 278,682.84 and 117,110.28 is: 161,612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,943.92 : 278,682.84 = 117,110.28 : x
  2. Step 2: Convert to fraction form
    201,943.92/278,682.84 = 117,110.28/x
  3. Step 3: Cross multiply
    201,943.92x = 278,682.84 × 117,110.28
  4. Step 4: Simplify right side
    201,943.92x = 32,636,625,423.60
  5. Step 5: Solve for x
    x = 32,636,625,423.60/201,943.92
  6. Step 6: Final answer
    x = 161,612.32

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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.