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Finding the Fourth Proportional to 194,751.72, 291,947.04 and 76,424.04

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Solution

The fourth proportional to 194,751.72, 291,947.04 and 76,424.04 is: 114,565.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,751.72 : 291,947.04 = 76,424.04 : x
  2. Step 2: Convert to fraction form
    194,751.72/291,947.04 = 76,424.04/x
  3. Step 3: Cross multiply
    194,751.72x = 291,947.04 × 76,424.04
  4. Step 4: Simplify right side
    194,751.72x = 22,311,772,262.84
  5. Step 5: Solve for x
    x = 22,311,772,262.84/194,751.72
  6. Step 6: Final answer
    x = 114,565.21

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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.