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Finding the Fourth Proportional to 275,200.14, 412,838.46 and 97,664.98

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Solution

The fourth proportional to 275,200.14, 412,838.46 and 97,664.98 is: 146,511.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,200.14 : 412,838.46 = 97,664.98 : x
  2. Step 2: Convert to fraction form
    275,200.14/412,838.46 = 97,664.98/x
  3. Step 3: Cross multiply
    275,200.14x = 412,838.46 × 97,664.98
  4. Step 4: Simplify right side
    275,200.14x = 40,319,859,939.13
  5. Step 5: Solve for x
    x = 40,319,859,939.13/275,200.14
  6. Step 6: Final answer
    x = 146,511.04

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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.