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Finding the Fourth Proportional to 105,194.70, 145,166.38 and 57,448.24

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Solution

The fourth proportional to 105,194.70, 145,166.38 and 57,448.24 is: 79,277.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,194.70 : 145,166.38 = 57,448.24 : x
  2. Step 2: Convert to fraction form
    105,194.70/145,166.38 = 57,448.24/x
  3. Step 3: Cross multiply
    105,194.70x = 145,166.38 × 57,448.24
  4. Step 4: Simplify right side
    105,194.70x = 8,339,552,531.63
  5. Step 5: Solve for x
    x = 8,339,552,531.63/105,194.70
  6. Step 6: Final answer
    x = 79,277.31

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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.