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Finding the Fourth Proportional to 299,049.76, 412,698.60 and 163,091.14

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Solution

The fourth proportional to 299,049.76, 412,698.60 and 163,091.14 is: 225,071.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,049.76 : 412,698.60 = 163,091.14 : x
  2. Step 2: Convert to fraction form
    299,049.76/412,698.60 = 163,091.14/x
  3. Step 3: Cross multiply
    299,049.76x = 412,698.60 × 163,091.14
  4. Step 4: Simplify right side
    299,049.76x = 67,307,485,150.40
  5. Step 5: Solve for x
    x = 67,307,485,150.40/299,049.76
  6. Step 6: Final answer
    x = 225,071.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.