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Finding the Fourth Proportional to 180,039.51, 269,913.06 and 74,937.15

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Solution

The fourth proportional to 180,039.51, 269,913.06 and 74,937.15 is: 112,344.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,039.51 : 269,913.06 = 74,937.15 : x
  2. Step 2: Convert to fraction form
    180,039.51/269,913.06 = 74,937.15/x
  3. Step 3: Cross multiply
    180,039.51x = 269,913.06 × 74,937.15
  4. Step 4: Simplify right side
    180,039.51x = 20,226,515,464.18
  5. Step 5: Solve for x
    x = 20,226,515,464.18/180,039.51
  6. Step 6: Final answer
    x = 112,344.87

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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.