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Finding the Fourth Proportional to 194,798.67, 292,214.70 and 68,427.93

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Solution

The fourth proportional to 194,798.67, 292,214.70 and 68,427.93 is: 102,647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,798.67 : 292,214.70 = 68,427.93 : x
  2. Step 2: Convert to fraction form
    194,798.67/292,214.70 = 68,427.93/x
  3. Step 3: Cross multiply
    194,798.67x = 292,214.70 × 68,427.93
  4. Step 4: Simplify right side
    194,798.67x = 19,995,647,036.57
  5. Step 5: Solve for x
    x = 19,995,647,036.57/194,798.67
  6. Step 6: Final answer
    x = 102,647.76

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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.