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Finding the Fourth Proportional to 144,907.38, 217,283.31 and 65,951.82

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Solution

The fourth proportional to 144,907.38, 217,283.31 and 65,951.82 is: 98,892.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,907.38 : 217,283.31 = 65,951.82 : x
  2. Step 2: Convert to fraction form
    144,907.38/217,283.31 = 65,951.82/x
  3. Step 3: Cross multiply
    144,907.38x = 217,283.31 × 65,951.82
  4. Step 4: Simplify right side
    144,907.38x = 14,330,229,750.12
  5. Step 5: Solve for x
    x = 14,330,229,750.12/144,907.38
  6. Step 6: Final answer
    x = 98,892.34

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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.