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Finding the Fourth Proportional to 194,469.10, 291,703.65 and 177,847.90

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Solution

The fourth proportional to 194,469.10, 291,703.65 and 177,847.90 is: 266,771.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,469.10 : 291,703.65 = 177,847.90 : x
  2. Step 2: Convert to fraction form
    194,469.10/291,703.65 = 177,847.90/x
  3. Step 3: Cross multiply
    194,469.10x = 291,703.65 × 177,847.90
  4. Step 4: Simplify right side
    194,469.10x = 51,878,881,574.84
  5. Step 5: Solve for x
    x = 51,878,881,574.84/194,469.10
  6. Step 6: Final answer
    x = 266,771.85

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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.