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Finding the Fourth Proportional to 91,696.80, 128,220 and 91,696.80

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Solution

The fourth proportional to 91,696.80, 128,220 and 91,696.80 is: 128,220

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,696.80 : 128,220 = 91,696.80 : x
  2. Step 2: Convert to fraction form
    91,696.80/128,220 = 91,696.80/x
  3. Step 3: Cross multiply
    91,696.80x = 128,220 × 91,696.80
  4. Step 4: Simplify right side
    91,696.80x = 11,757,363,696
  5. Step 5: Solve for x
    x = 11,757,363,696/91,696.80
  6. Step 6: Final answer
    x = 128,220

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.