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Finding the Fourth Proportional to 174,151.41, 261,221.64 and 49,492.41

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Solution

The fourth proportional to 174,151.41, 261,221.64 and 49,492.41 is: 74,237.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,151.41 : 261,221.64 = 49,492.41 : x
  2. Step 2: Convert to fraction form
    174,151.41/261,221.64 = 49,492.41/x
  3. Step 3: Cross multiply
    174,151.41x = 261,221.64 × 49,492.41
  4. Step 4: Simplify right side
    174,151.41x = 12,928,488,507.75
  5. Step 5: Solve for x
    x = 12,928,488,507.75/174,151.41
  6. Step 6: Final answer
    x = 74,237.06

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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.