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Finding the Fourth Proportional to 171,851.86, 257,782.11 and 47,192.50

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Solution

The fourth proportional to 171,851.86, 257,782.11 and 47,192.50 is: 70,789.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,851.86 : 257,782.11 = 47,192.50 : x
  2. Step 2: Convert to fraction form
    171,851.86/257,782.11 = 47,192.50/x
  3. Step 3: Cross multiply
    171,851.86x = 257,782.11 × 47,192.50
  4. Step 4: Simplify right side
    171,851.86x = 12,165,382,226.18
  5. Step 5: Solve for x
    x = 12,165,382,226.18/171,851.86
  6. Step 6: Final answer
    x = 70,789.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.