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Finding the Fourth Proportional to 188,037.92, 282,057.76 and 63,380

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Solution

The fourth proportional to 188,037.92, 282,057.76 and 63,380 is: 95,070.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,037.92 : 282,057.76 = 63,380 : x
  2. Step 2: Convert to fraction form
    188,037.92/282,057.76 = 63,380/x
  3. Step 3: Cross multiply
    188,037.92x = 282,057.76 × 63,380
  4. Step 4: Simplify right side
    188,037.92x = 17,876,820,828.80
  5. Step 5: Solve for x
    x = 17,876,820,828.80/188,037.92
  6. Step 6: Final answer
    x = 95,070.30

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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.