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Finding the Fourth Proportional to 194,601.80, 291,288.30 and 188,457.80

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Solution

The fourth proportional to 194,601.80, 291,288.30 and 188,457.80 is: 282,091.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,601.80 : 291,288.30 = 188,457.80 : x
  2. Step 2: Convert to fraction form
    194,601.80/291,288.30 = 188,457.80/x
  3. Step 3: Cross multiply
    194,601.80x = 291,288.30 × 188,457.80
  4. Step 4: Simplify right side
    194,601.80x = 54,895,552,183.74
  5. Step 5: Solve for x
    x = 54,895,552,183.74/194,601.80
  6. Step 6: Final answer
    x = 282,091.70

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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.