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Finding the Fourth Proportional to 105,696.92, 145,777.05 and 92,922.95

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Solution

The fourth proportional to 105,696.92, 145,777.05 and 92,922.95 is: 128,159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,696.92 : 145,777.05 = 92,922.95 : x
  2. Step 2: Convert to fraction form
    105,696.92/145,777.05 = 92,922.95/x
  3. Step 3: Cross multiply
    105,696.92x = 145,777.05 × 92,922.95
  4. Step 4: Simplify right side
    105,696.92x = 13,546,033,892.74
  5. Step 5: Solve for x
    x = 13,546,033,892.74/105,696.92
  6. Step 6: Final answer
    x = 128,159.21

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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.