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Finding the Fourth Proportional to 196,058.83, 294,064.84 and 53,918.55

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Solution

The fourth proportional to 196,058.83, 294,064.84 and 53,918.55 is: 80,871.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,058.83 : 294,064.84 = 53,918.55 : x
  2. Step 2: Convert to fraction form
    196,058.83/294,064.84 = 53,918.55/x
  3. Step 3: Cross multiply
    196,058.83x = 294,064.84 × 53,918.55
  4. Step 4: Simplify right side
    196,058.83x = 15,855,549,778.78
  5. Step 5: Solve for x
    x = 15,855,549,778.78/196,058.83
  6. Step 6: Final answer
    x = 80,871.39

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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.