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Finding the Fourth Proportional to 199,052, 298,579.12 and 51,308

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Solution

The fourth proportional to 199,052, 298,579.12 and 51,308 is: 76,962.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,052 : 298,579.12 = 51,308 : x
  2. Step 2: Convert to fraction form
    199,052/298,579.12 = 51,308/x
  3. Step 3: Cross multiply
    199,052x = 298,579.12 × 51,308
  4. Step 4: Simplify right side
    199,052x = 15,319,497,488.96
  5. Step 5: Solve for x
    x = 15,319,497,488.96/199,052
  6. Step 6: Final answer
    x = 76,962.29

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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.