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Finding the Fourth Proportional to 184,648, 276,943.92 and 51,514.24

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Solution

The fourth proportional to 184,648, 276,943.92 and 51,514.24 is: 77,263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,648 : 276,943.92 = 51,514.24 : x
  2. Step 2: Convert to fraction form
    184,648/276,943.92 = 51,514.24/x
  3. Step 3: Cross multiply
    184,648x = 276,943.92 × 51,514.24
  4. Step 4: Simplify right side
    184,648x = 14,266,555,561.42
  5. Step 5: Solve for x
    x = 14,266,555,561.42/184,648
  6. Step 6: Final answer
    x = 77,263.53

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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.