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Finding the Fourth Proportional to 199,357.78, 298,985.34 and 59,083.60

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Solution

The fourth proportional to 199,357.78, 298,985.34 and 59,083.60 is: 88,610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,357.78 : 298,985.34 = 59,083.60 : x
  2. Step 2: Convert to fraction form
    199,357.78/298,985.34 = 59,083.60/x
  3. Step 3: Cross multiply
    199,357.78x = 298,985.34 × 59,083.60
  4. Step 4: Simplify right side
    199,357.78x = 17,665,130,234.42
  5. Step 5: Solve for x
    x = 17,665,130,234.42/199,357.78
  6. Step 6: Final answer
    x = 88,610.19

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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.