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Finding the Fourth Proportional to 174,724, 262,086 and 50,065

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Solution

The fourth proportional to 174,724, 262,086 and 50,065 is: 75,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,724 : 262,086 = 50,065 : x
  2. Step 2: Convert to fraction form
    174,724/262,086 = 50,065/x
  3. Step 3: Cross multiply
    174,724x = 262,086 × 50,065
  4. Step 4: Simplify right side
    174,724x = 13,121,335,590
  5. Step 5: Solve for x
    x = 13,121,335,590/174,724
  6. Step 6: Final answer
    x = 75,097.50

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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.