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Finding the Fourth Proportional to 231,577.44, 319,611.24 and 146,702.40

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Solution

The fourth proportional to 231,577.44, 319,611.24 and 146,702.40 is: 202,471.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,577.44 : 319,611.24 = 146,702.40 : x
  2. Step 2: Convert to fraction form
    231,577.44/319,611.24 = 146,702.40/x
  3. Step 3: Cross multiply
    231,577.44x = 319,611.24 × 146,702.40
  4. Step 4: Simplify right side
    231,577.44x = 46,887,735,974.98
  5. Step 5: Solve for x
    x = 46,887,735,974.98/231,577.44
  6. Step 6: Final answer
    x = 202,471.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.