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Finding the Fourth Proportional to 174,725, 262,087.50 and 50,066

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Solution

The fourth proportional to 174,725, 262,087.50 and 50,066 is: 75,099

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,725 : 262,087.50 = 50,066 : x
  2. Step 2: Convert to fraction form
    174,725/262,087.50 = 50,066/x
  3. Step 3: Cross multiply
    174,725x = 262,087.50 × 50,066
  4. Step 4: Simplify right side
    174,725x = 13,121,672,775
  5. Step 5: Solve for x
    x = 13,121,672,775/174,725
  6. Step 6: Final answer
    x = 75,099

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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.