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Finding the Fourth Proportional to 194,509.80, 289,719.09 and 185,409

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Solution

The fourth proportional to 194,509.80, 289,719.09 and 185,409 is: 276,163.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,509.80 : 289,719.09 = 185,409 : x
  2. Step 2: Convert to fraction form
    194,509.80/289,719.09 = 185,409/x
  3. Step 3: Cross multiply
    194,509.80x = 289,719.09 × 185,409
  4. Step 4: Simplify right side
    194,509.80x = 53,716,526,757.81
  5. Step 5: Solve for x
    x = 53,716,526,757.81/194,509.80
  6. Step 6: Final answer
    x = 276,163.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.