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Finding the Fourth Proportional to 164,058, 246,110.76 and 51,700.20

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Solution

The fourth proportional to 164,058, 246,110.76 and 51,700.20 is: 77,557.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,058 : 246,110.76 = 51,700.20 : x
  2. Step 2: Convert to fraction form
    164,058/246,110.76 = 51,700.20/x
  3. Step 3: Cross multiply
    164,058x = 246,110.76 × 51,700.20
  4. Step 4: Simplify right side
    164,058x = 12,723,975,514.15
  5. Step 5: Solve for x
    x = 12,723,975,514.15/164,058
  6. Step 6: Final answer
    x = 77,557.79

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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.