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Finding the Fourth Proportional to 105,694.41, 157,961.28 and 77,291.21

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Solution

The fourth proportional to 105,694.41, 157,961.28 and 77,291.21 is: 115,512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,694.41 : 157,961.28 = 77,291.21 : x
  2. Step 2: Convert to fraction form
    105,694.41/157,961.28 = 77,291.21/x
  3. Step 3: Cross multiply
    105,694.41x = 157,961.28 × 77,291.21
  4. Step 4: Simplify right side
    105,694.41x = 12,209,017,682.99
  5. Step 5: Solve for x
    x = 12,209,017,682.99/105,694.41
  6. Step 6: Final answer
    x = 115,512.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.