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Finding the Fourth Proportional to 273,208.58, 409,812.87 and 73,529.42

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Solution

The fourth proportional to 273,208.58, 409,812.87 and 73,529.42 is: 110,294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,208.58 : 409,812.87 = 73,529.42 : x
  2. Step 2: Convert to fraction form
    273,208.58/409,812.87 = 73,529.42/x
  3. Step 3: Cross multiply
    273,208.58x = 409,812.87 × 73,529.42
  4. Step 4: Simplify right side
    273,208.58x = 30,133,302,639.64
  5. Step 5: Solve for x
    x = 30,133,302,639.64/273,208.58
  6. Step 6: Final answer
    x = 110,294.13

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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.