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Finding the Fourth Proportional to 193,705.92, 290,537.12 and 53,484.48

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Solution

The fourth proportional to 193,705.92, 290,537.12 and 53,484.48 is: 80,220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,705.92 : 290,537.12 = 53,484.48 : x
  2. Step 2: Convert to fraction form
    193,705.92/290,537.12 = 53,484.48/x
  3. Step 3: Cross multiply
    193,705.92x = 290,537.12 × 53,484.48
  4. Step 4: Simplify right side
    193,705.92x = 15,539,226,783.90
  5. Step 5: Solve for x
    x = 15,539,226,783.90/193,705.92
  6. Step 6: Final answer
    x = 80,220.71

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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.