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Finding the Fourth Proportional to 273,509.92, 409,185.96 and 207,141.76

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Solution

The fourth proportional to 273,509.92, 409,185.96 and 207,141.76 is: 309,895.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,509.92 : 409,185.96 = 207,141.76 : x
  2. Step 2: Convert to fraction form
    273,509.92/409,185.96 = 207,141.76/x
  3. Step 3: Cross multiply
    273,509.92x = 409,185.96 × 207,141.76
  4. Step 4: Simplify right side
    273,509.92x = 84,759,499,921.69
  5. Step 5: Solve for x
    x = 84,759,499,921.69/273,509.92
  6. Step 6: Final answer
    x = 309,895.52

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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.