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Finding the Fourth Proportional to 298,051.20, 447,076.80 and 158,083.20

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Solution

The fourth proportional to 298,051.20, 447,076.80 and 158,083.20 is: 237,124.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,051.20 : 447,076.80 = 158,083.20 : x
  2. Step 2: Convert to fraction form
    298,051.20/447,076.80 = 158,083.20/x
  3. Step 3: Cross multiply
    298,051.20x = 447,076.80 × 158,083.20
  4. Step 4: Simplify right side
    298,051.20x = 70,675,331,189.76
  5. Step 5: Solve for x
    x = 70,675,331,189.76/298,051.20
  6. Step 6: Final answer
    x = 237,124.80

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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.