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Finding the Fourth Proportional to 251,058, 346,490.76 and 145,074

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Solution

The fourth proportional to 251,058, 346,490.76 and 145,074 is: 200,219.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,058 : 346,490.76 = 145,074 : x
  2. Step 2: Convert to fraction form
    251,058/346,490.76 = 145,074/x
  3. Step 3: Cross multiply
    251,058x = 346,490.76 × 145,074
  4. Step 4: Simplify right side
    251,058x = 50,266,800,516.24
  5. Step 5: Solve for x
    x = 50,266,800,516.24/251,058
  6. Step 6: Final answer
    x = 200,219.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.