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Finding the Fourth Proportional to 182,633, 273,949.60 and 57,974

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Solution

The fourth proportional to 182,633, 273,949.60 and 57,974 is: 86,961.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,633 : 273,949.60 = 57,974 : x
  2. Step 2: Convert to fraction form
    182,633/273,949.60 = 57,974/x
  3. Step 3: Cross multiply
    182,633x = 273,949.60 × 57,974
  4. Step 4: Simplify right side
    182,633x = 15,881,954,110.40
  5. Step 5: Solve for x
    x = 15,881,954,110.40/182,633
  6. Step 6: Final answer
    x = 86,961.03

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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.