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Finding the Fourth Proportional to 194,704.94, 291,945.62 and 76,237.58

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Solution

The fourth proportional to 194,704.94, 291,945.62 and 76,237.58 is: 114,312.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,704.94 : 291,945.62 = 76,237.58 : x
  2. Step 2: Convert to fraction form
    194,704.94/291,945.62 = 76,237.58/x
  3. Step 3: Cross multiply
    194,704.94x = 291,945.62 × 76,237.58
  4. Step 4: Simplify right side
    194,704.94x = 22,257,227,560.40
  5. Step 5: Solve for x
    x = 22,257,227,560.40/194,704.94
  6. Step 6: Final answer
    x = 114,312.60

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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.