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Finding the Fourth Proportional to 273,006.14, 409,509.81 and 123,072.12

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Solution

The fourth proportional to 273,006.14, 409,509.81 and 123,072.12 is: 184,608.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,006.14 : 409,509.81 = 123,072.12 : x
  2. Step 2: Convert to fraction form
    273,006.14/409,509.81 = 123,072.12/x
  3. Step 3: Cross multiply
    273,006.14x = 409,509.81 × 123,072.12
  4. Step 4: Simplify right side
    273,006.14x = 50,399,240,477.50
  5. Step 5: Solve for x
    x = 50,399,240,477.50/273,006.14
  6. Step 6: Final answer
    x = 184,608.45

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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.