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Finding the Fourth Proportional to 210,044.98, 314,974.32 and 60,251.14

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Solution

The fourth proportional to 210,044.98, 314,974.32 and 60,251.14 is: 90,349.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,044.98 : 314,974.32 = 60,251.14 : x
  2. Step 2: Convert to fraction form
    210,044.98/314,974.32 = 60,251.14/x
  3. Step 3: Cross multiply
    210,044.98x = 314,974.32 × 60,251.14
  4. Step 4: Simplify right side
    210,044.98x = 18,977,561,850.72
  5. Step 5: Solve for x
    x = 18,977,561,850.72/210,044.98
  6. Step 6: Final answer
    x = 90,349.99

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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.