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Finding the Fourth Proportional to 193,866.48, 290,820.56 and 81,558.11

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Solution

The fourth proportional to 193,866.48, 290,820.56 and 81,558.11 is: 122,345.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,866.48 : 290,820.56 = 81,558.11 : x
  2. Step 2: Convert to fraction form
    193,866.48/290,820.56 = 81,558.11/x
  3. Step 3: Cross multiply
    193,866.48x = 290,820.56 × 81,558.11
  4. Step 4: Simplify right side
    193,866.48x = 23,718,775,542.00
  5. Step 5: Solve for x
    x = 23,718,775,542.00/193,866.48
  6. Step 6: Final answer
    x = 122,345.93

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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.