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Finding the Fourth Proportional to 171,821.86, 257,598.90 and 81,818.17

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Solution

The fourth proportional to 171,821.86, 257,598.90 and 81,818.17 is: 122,663.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,821.86 : 257,598.90 = 81,818.17 : x
  2. Step 2: Convert to fraction form
    171,821.86/257,598.90 = 81,818.17/x
  3. Step 3: Cross multiply
    171,821.86x = 257,598.90 × 81,818.17
  4. Step 4: Simplify right side
    171,821.86x = 21,076,269,948.02
  5. Step 5: Solve for x
    x = 21,076,269,948.02/171,821.86
  6. Step 6: Final answer
    x = 122,663.50

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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.