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Finding the Fourth Proportional to 273,418.50, 410,310 and 105,077.82

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Solution

The fourth proportional to 273,418.50, 410,310 and 105,077.82 is: 157,686.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,418.50 : 410,310 = 105,077.82 : x
  2. Step 2: Convert to fraction form
    273,418.50/410,310 = 105,077.82/x
  3. Step 3: Cross multiply
    273,418.50x = 410,310 × 105,077.82
  4. Step 4: Simplify right side
    273,418.50x = 43,114,480,324.20
  5. Step 5: Solve for x
    x = 43,114,480,324.20/273,418.50
  6. Step 6: Final answer
    x = 157,686.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.