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Finding the Fourth Proportional to 105,938, 158,907 and 39,394.88

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Solution

The fourth proportional to 105,938, 158,907 and 39,394.88 is: 59,092.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,938 : 158,907 = 39,394.88 : x
  2. Step 2: Convert to fraction form
    105,938/158,907 = 39,394.88/x
  3. Step 3: Cross multiply
    105,938x = 158,907 × 39,394.88
  4. Step 4: Simplify right side
    105,938x = 6,260,122,196.16
  5. Step 5: Solve for x
    x = 6,260,122,196.16/105,938
  6. Step 6: Final answer
    x = 59,092.32

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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.