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Finding the Fourth Proportional to 105,725, 145,887.09 and 57,965.78

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Solution

The fourth proportional to 105,725, 145,887.09 and 57,965.78 is: 79,985.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,725 : 145,887.09 = 57,965.78 : x
  2. Step 2: Convert to fraction form
    105,725/145,887.09 = 57,965.78/x
  3. Step 3: Cross multiply
    105,725x = 145,887.09 × 57,965.78
  4. Step 4: Simplify right side
    105,725x = 8,456,458,963.78
  5. Step 5: Solve for x
    x = 8,456,458,963.78/105,725
  6. Step 6: Final answer
    x = 79,985.42

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