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Finding the Fourth Proportional to 188,617.64, 282,838.92 and 109,754.48

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Solution

The fourth proportional to 188,617.64, 282,838.92 and 109,754.48 is: 164,580.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,617.64 : 282,838.92 = 109,754.48 : x
  2. Step 2: Convert to fraction form
    188,617.64/282,838.92 = 109,754.48/x
  3. Step 3: Cross multiply
    188,617.64x = 282,838.92 × 109,754.48
  4. Step 4: Simplify right side
    188,617.64x = 31,042,838,588.36
  5. Step 5: Solve for x
    x = 31,042,838,588.36/188,617.64
  6. Step 6: Final answer
    x = 164,580.78

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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.