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Finding the Fourth Proportional to 253,501.81, 349,832.50 and 140,324.56

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Solution

The fourth proportional to 253,501.81, 349,832.50 and 140,324.56 is: 193,647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,501.81 : 349,832.50 = 140,324.56 : x
  2. Step 2: Convert to fraction form
    253,501.81/349,832.50 = 140,324.56/x
  3. Step 3: Cross multiply
    253,501.81x = 349,832.50 × 140,324.56
  4. Step 4: Simplify right side
    253,501.81x = 49,090,091,636.20
  5. Step 5: Solve for x
    x = 49,090,091,636.20/253,501.81
  6. Step 6: Final answer
    x = 193,647.89

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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.