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Finding the Fourth Proportional to 194,608.80, 291,298.80 and 188,464.80

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Solution

The fourth proportional to 194,608.80, 291,298.80 and 188,464.80 is: 282,102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,608.80 : 291,298.80 = 188,464.80 : x
  2. Step 2: Convert to fraction form
    194,608.80/291,298.80 = 188,464.80/x
  3. Step 3: Cross multiply
    194,608.80x = 291,298.80 × 188,464.80
  4. Step 4: Simplify right side
    194,608.80x = 54,899,570,082.24
  5. Step 5: Solve for x
    x = 54,899,570,082.24/194,608.80
  6. Step 6: Final answer
    x = 282,102.20

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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.