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Finding the Fourth Proportional to 202,942.90, 304,414.35 and 92,134.90

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Solution

The fourth proportional to 202,942.90, 304,414.35 and 92,134.90 is: 138,202.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,942.90 : 304,414.35 = 92,134.90 : x
  2. Step 2: Convert to fraction form
    202,942.90/304,414.35 = 92,134.90/x
  3. Step 3: Cross multiply
    202,942.90x = 304,414.35 × 92,134.90
  4. Step 4: Simplify right side
    202,942.90x = 28,047,185,695.82
  5. Step 5: Solve for x
    x = 28,047,185,695.82/202,942.90
  6. Step 6: Final answer
    x = 138,202.35

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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.