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Finding the Fourth Proportional to 174,274.56, 261,433.71 and 55,914.12

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Solution

The fourth proportional to 174,274.56, 261,433.71 and 55,914.12 is: 83,878.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,274.56 : 261,433.71 = 55,914.12 : x
  2. Step 2: Convert to fraction form
    174,274.56/261,433.71 = 55,914.12/x
  3. Step 3: Cross multiply
    174,274.56x = 261,433.71 × 55,914.12
  4. Step 4: Simplify right side
    174,274.56x = 14,617,835,832.99
  5. Step 5: Solve for x
    x = 14,617,835,832.99/174,274.56
  6. Step 6: Final answer
    x = 83,878.20

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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.