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Finding the Fourth Proportional to 174,152.41, 261,223.14 and 49,493.41

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Solution

The fourth proportional to 174,152.41, 261,223.14 and 49,493.41 is: 74,238.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,152.41 : 261,223.14 = 49,493.41 : x
  2. Step 2: Convert to fraction form
    174,152.41/261,223.14 = 49,493.41/x
  3. Step 3: Cross multiply
    174,152.41x = 261,223.14 × 49,493.41
  4. Step 4: Simplify right side
    174,152.41x = 12,928,823,969.51
  5. Step 5: Solve for x
    x = 12,928,823,969.51/174,152.41
  6. Step 6: Final answer
    x = 74,238.56

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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.