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Finding the Fourth Proportional to 273,235.40, 409,711.26 and 104,705.72

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Solution

The fourth proportional to 273,235.40, 409,711.26 and 104,705.72 is: 157,004.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,235.40 : 409,711.26 = 104,705.72 : x
  2. Step 2: Convert to fraction form
    273,235.40/409,711.26 = 104,705.72/x
  3. Step 3: Cross multiply
    273,235.40x = 409,711.26 × 104,705.72
  4. Step 4: Simplify right side
    273,235.40x = 42,899,112,470.41
  5. Step 5: Solve for x
    x = 42,899,112,470.41/273,235.40
  6. Step 6: Final answer
    x = 157,004.23

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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.