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Finding the Fourth Proportional to 273,201.04, 409,874.52 and 86,216.08

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Solution

The fourth proportional to 273,201.04, 409,874.52 and 86,216.08 is: 129,347.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,201.04 : 409,874.52 = 86,216.08 : x
  2. Step 2: Convert to fraction form
    273,201.04/409,874.52 = 86,216.08/x
  3. Step 3: Cross multiply
    273,201.04x = 409,874.52 × 86,216.08
  4. Step 4: Simplify right side
    273,201.04x = 35,337,774,406.28
  5. Step 5: Solve for x
    x = 35,337,774,406.28/273,201.04
  6. Step 6: Final answer
    x = 129,347.14

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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.