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Finding the Fourth Proportional to 273,323.56, 409,945.70 and 104,886.29

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Solution

The fourth proportional to 273,323.56, 409,945.70 and 104,886.29 is: 157,314.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,323.56 : 409,945.70 = 104,886.29 : x
  2. Step 2: Convert to fraction form
    273,323.56/409,945.70 = 104,886.29/x
  3. Step 3: Cross multiply
    273,323.56x = 409,945.70 × 104,886.29
  4. Step 4: Simplify right side
    273,323.56x = 42,997,681,524.72
  5. Step 5: Solve for x
    x = 42,997,681,524.72/273,323.56
  6. Step 6: Final answer
    x = 157,314.22

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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.