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Finding the Fourth Proportional to 173,097.60, 259,670.70 and 54,756.60

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Solution

The fourth proportional to 173,097.60, 259,670.70 and 54,756.60 is: 82,142.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,097.60 : 259,670.70 = 54,756.60 : x
  2. Step 2: Convert to fraction form
    173,097.60/259,670.70 = 54,756.60/x
  3. Step 3: Cross multiply
    173,097.60x = 259,670.70 × 54,756.60
  4. Step 4: Simplify right side
    173,097.60x = 14,218,684,651.62
  5. Step 5: Solve for x
    x = 14,218,684,651.62/173,097.60
  6. Step 6: Final answer
    x = 82,142.59

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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.