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Finding the Fourth Proportional to 195,749, 293,625.24 and 77,420.36

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Solution

The fourth proportional to 195,749, 293,625.24 and 77,420.36 is: 116,131.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,749 : 293,625.24 = 77,420.36 : x
  2. Step 2: Convert to fraction form
    195,749/293,625.24 = 77,420.36/x
  3. Step 3: Cross multiply
    195,749x = 293,625.24 × 77,420.36
  4. Step 4: Simplify right side
    195,749x = 22,732,569,930.66
  5. Step 5: Solve for x
    x = 22,732,569,930.66/195,749
  6. Step 6: Final answer
    x = 116,131.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.