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Finding the Fourth Proportional to 194,323.74, 291,524.49 and 69,674.46

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Solution

The fourth proportional to 194,323.74, 291,524.49 and 69,674.46 is: 104,525.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,323.74 : 291,524.49 = 69,674.46 : x
  2. Step 2: Convert to fraction form
    194,323.74/291,524.49 = 69,674.46/x
  3. Step 3: Cross multiply
    194,323.74x = 291,524.49 × 69,674.46
  4. Step 4: Simplify right side
    194,323.74x = 20,311,811,417.53
  5. Step 5: Solve for x
    x = 20,311,811,417.53/194,323.74
  6. Step 6: Final answer
    x = 104,525.63

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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.