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Finding the Fourth Proportional to 273,529.83, 410,014.08 and 105,004.77

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Solution

The fourth proportional to 273,529.83, 410,014.08 and 105,004.77 is: 157,399.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,529.83 : 410,014.08 = 105,004.77 : x
  2. Step 2: Convert to fraction form
    273,529.83/410,014.08 = 105,004.77/x
  3. Step 3: Cross multiply
    273,529.83x = 410,014.08 × 105,004.77
  4. Step 4: Simplify right side
    273,529.83x = 43,053,434,167.16
  5. Step 5: Solve for x
    x = 43,053,434,167.16/273,529.83
  6. Step 6: Final answer
    x = 157,399.41

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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.