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Finding the Fourth Proportional to 298,175.58, 447,248.79 and 111,172.50

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Solution

The fourth proportional to 298,175.58, 447,248.79 and 111,172.50 is: 166,753.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,175.58 : 447,248.79 = 111,172.50 : x
  2. Step 2: Convert to fraction form
    298,175.58/447,248.79 = 111,172.50/x
  3. Step 3: Cross multiply
    298,175.58x = 447,248.79 × 111,172.50
  4. Step 4: Simplify right side
    298,175.58x = 49,721,766,106.28
  5. Step 5: Solve for x
    x = 49,721,766,106.28/298,175.58
  6. Step 6: Final answer
    x = 166,753.31

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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.