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Finding the Fourth Proportional to 551,442.70, 827,164.05 and 152,145.10

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Solution

The fourth proportional to 551,442.70, 827,164.05 and 152,145.10 is: 228,217.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,442.70 : 827,164.05 = 152,145.10 : x
  2. Step 2: Convert to fraction form
    551,442.70/827,164.05 = 152,145.10/x
  3. Step 3: Cross multiply
    551,442.70x = 827,164.05 × 152,145.10
  4. Step 4: Simplify right side
    551,442.70x = 125,848,957,103.66
  5. Step 5: Solve for x
    x = 125,848,957,103.66/551,442.70
  6. Step 6: Final answer
    x = 228,217.65

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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.