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Finding the Fourth Proportional to 174,301.76, 261,498 and 49,652.48

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Solution

The fourth proportional to 174,301.76, 261,498 and 49,652.48 is: 74,491.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,301.76 : 261,498 = 49,652.48 : x
  2. Step 2: Convert to fraction form
    174,301.76/261,498 = 49,652.48/x
  3. Step 3: Cross multiply
    174,301.76x = 261,498 × 49,652.48
  4. Step 4: Simplify right side
    174,301.76x = 12,984,024,215.04
  5. Step 5: Solve for x
    x = 12,984,024,215.04/174,301.76
  6. Step 6: Final answer
    x = 74,491.64

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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.