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Finding the Fourth Proportional to 273,412.10, 409,826.55 and 104,867.30

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Solution

The fourth proportional to 273,412.10, 409,826.55 and 104,867.30 is: 157,189.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,412.10 : 409,826.55 = 104,867.30 : x
  2. Step 2: Convert to fraction form
    273,412.10/409,826.55 = 104,867.30/x
  3. Step 3: Cross multiply
    273,412.10x = 409,826.55 × 104,867.30
  4. Step 4: Simplify right side
    273,412.10x = 42,977,403,766.82
  5. Step 5: Solve for x
    x = 42,977,403,766.82/273,412.10
  6. Step 6: Final answer
    x = 157,189.11

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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.