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Finding the Fourth Proportional to 273,193.13, 409,509.03 and 104,667.77

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Solution

The fourth proportional to 273,193.13, 409,509.03 and 104,667.77 is: 156,894.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,193.13 : 409,509.03 = 104,667.77 : x
  2. Step 2: Convert to fraction form
    273,193.13/409,509.03 = 104,667.77/x
  3. Step 3: Cross multiply
    273,193.13x = 409,509.03 × 104,667.77
  4. Step 4: Simplify right side
    273,193.13x = 42,862,396,964.96
  5. Step 5: Solve for x
    x = 42,862,396,964.96/273,193.13
  6. Step 6: Final answer
    x = 156,894.12

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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.