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Finding the Fourth Proportional to 275,059.98, 412,062.93 and 186,160.14

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Solution

The fourth proportional to 275,059.98, 412,062.93 and 186,160.14 is: 278,883.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,059.98 : 412,062.93 = 186,160.14 : x
  2. Step 2: Convert to fraction form
    275,059.98/412,062.93 = 186,160.14/x
  3. Step 3: Cross multiply
    275,059.98x = 412,062.93 × 186,160.14
  4. Step 4: Simplify right side
    275,059.98x = 76,709,692,737.61
  5. Step 5: Solve for x
    x = 76,709,692,737.61/275,059.98
  6. Step 6: Final answer
    x = 278,883.51

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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.