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Finding the Fourth Proportional to 174,040, 261,060.24 and 75,544

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Solution

The fourth proportional to 174,040, 261,060.24 and 75,544 is: 113,316.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,040 : 261,060.24 = 75,544 : x
  2. Step 2: Convert to fraction form
    174,040/261,060.24 = 75,544/x
  3. Step 3: Cross multiply
    174,040x = 261,060.24 × 75,544
  4. Step 4: Simplify right side
    174,040x = 19,721,534,770.56
  5. Step 5: Solve for x
    x = 19,721,534,770.56/174,040
  6. Step 6: Final answer
    x = 113,316.10

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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.