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Finding the Fourth Proportional to 105,696.67, 145,776.70 and 92,922.70

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Solution

The fourth proportional to 105,696.67, 145,776.70 and 92,922.70 is: 128,158.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,696.67 : 145,776.70 = 92,922.70 : x
  2. Step 2: Convert to fraction form
    105,696.67/145,776.70 = 92,922.70/x
  3. Step 3: Cross multiply
    105,696.67x = 145,776.70 × 92,922.70
  4. Step 4: Simplify right side
    105,696.67x = 13,545,964,561.09
  5. Step 5: Solve for x
    x = 13,545,964,561.09/105,696.67
  6. Step 6: Final answer
    x = 128,158.86

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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.