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Finding the Fourth Proportional to 174,036, 261,054.24 and 75,540

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Solution

The fourth proportional to 174,036, 261,054.24 and 75,540 is: 113,310.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,036 : 261,054.24 = 75,540 : x
  2. Step 2: Convert to fraction form
    174,036/261,054.24 = 75,540/x
  3. Step 3: Cross multiply
    174,036x = 261,054.24 × 75,540
  4. Step 4: Simplify right side
    174,036x = 19,720,037,289.60
  5. Step 5: Solve for x
    x = 19,720,037,289.60/174,036
  6. Step 6: Final answer
    x = 113,310.10

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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.