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Finding the Fourth Proportional to 193,498.56, 290,254.08 and 53,257.92

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Solution

The fourth proportional to 193,498.56, 290,254.08 and 53,257.92 is: 79,888.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,498.56 : 290,254.08 = 53,257.92 : x
  2. Step 2: Convert to fraction form
    193,498.56/290,254.08 = 53,257.92/x
  3. Step 3: Cross multiply
    193,498.56x = 290,254.08 × 53,257.92
  4. Step 4: Simplify right side
    193,498.56x = 15,458,328,572.31
  5. Step 5: Solve for x
    x = 15,458,328,572.31/193,498.56
  6. Step 6: Final answer
    x = 79,888.60

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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.