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Finding the Fourth Proportional to 105,694.67, 157,961.65 and 77,291.46

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Solution

The fourth proportional to 105,694.67, 157,961.65 and 77,291.46 is: 115,512.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,694.67 : 157,961.65 = 77,291.46 : x
  2. Step 2: Convert to fraction form
    105,694.67/157,961.65 = 77,291.46/x
  3. Step 3: Cross multiply
    105,694.67x = 157,961.65 × 77,291.46
  4. Step 4: Simplify right side
    105,694.67x = 12,209,086,359.28
  5. Step 5: Solve for x
    x = 12,209,086,359.28/105,694.67
  6. Step 6: Final answer
    x = 115,512.80

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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.