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Finding the Fourth Proportional to 194,231.64, 291,620.05 and 99,529.87

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Solution

The fourth proportional to 194,231.64, 291,620.05 and 99,529.87 is: 149,434.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,231.64 : 291,620.05 = 99,529.87 : x
  2. Step 2: Convert to fraction form
    194,231.64/291,620.05 = 99,529.87/x
  3. Step 3: Cross multiply
    194,231.64x = 291,620.05 × 99,529.87
  4. Step 4: Simplify right side
    194,231.64x = 29,024,905,665.89
  5. Step 5: Solve for x
    x = 29,024,905,665.89/194,231.64
  6. Step 6: Final answer
    x = 149,434.49

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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.