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Finding the Fourth Proportional to 174,340, 261,604.50 and 134,974

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Solution

The fourth proportional to 174,340, 261,604.50 and 134,974 is: 202,534.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,340 : 261,604.50 = 134,974 : x
  2. Step 2: Convert to fraction form
    174,340/261,604.50 = 134,974/x
  3. Step 3: Cross multiply
    174,340x = 261,604.50 × 134,974
  4. Step 4: Simplify right side
    174,340x = 35,309,805,783
  5. Step 5: Solve for x
    x = 35,309,805,783/174,340
  6. Step 6: Final answer
    x = 202,534.16

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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.