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Finding the Fourth Proportional to 194,243.34, 291,365.01 and 69,671.82

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Solution

The fourth proportional to 194,243.34, 291,365.01 and 69,671.82 is: 104,507.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,243.34 : 291,365.01 = 69,671.82 : x
  2. Step 2: Convert to fraction form
    194,243.34/291,365.01 = 69,671.82/x
  3. Step 3: Cross multiply
    194,243.34x = 291,365.01 × 69,671.82
  4. Step 4: Simplify right side
    194,243.34x = 20,299,930,531.02
  5. Step 5: Solve for x
    x = 20,299,930,531.02/194,243.34
  6. Step 6: Final answer
    x = 104,507.73

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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.