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Finding the Fourth Proportional to 188,254.97, 282,319.81 and 75,906.17

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Solution

The fourth proportional to 188,254.97, 282,319.81 and 75,906.17 is: 113,834.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,254.97 : 282,319.81 = 75,906.17 : x
  2. Step 2: Convert to fraction form
    188,254.97/282,319.81 = 75,906.17/x
  3. Step 3: Cross multiply
    188,254.97x = 282,319.81 × 75,906.17
  4. Step 4: Simplify right side
    188,254.97x = 21,429,815,492.23
  5. Step 5: Solve for x
    x = 21,429,815,492.23/188,254.97
  6. Step 6: Final answer
    x = 113,834.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.