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Finding the Fourth Proportional to 194,817.63, 292,223.25 and 61,697.67

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Solution

The fourth proportional to 194,817.63, 292,223.25 and 61,697.67 is: 92,545.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,817.63 : 292,223.25 = 61,697.67 : x
  2. Step 2: Convert to fraction form
    194,817.63/292,223.25 = 61,697.67/x
  3. Step 3: Cross multiply
    194,817.63x = 292,223.25 × 61,697.67
  4. Step 4: Simplify right side
    194,817.63x = 18,029,493,644.83
  5. Step 5: Solve for x
    x = 18,029,493,644.83/194,817.63
  6. Step 6: Final answer
    x = 92,545.49

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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.