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Finding the Fourth Proportional to 119,696.56, 165,180.36 and 65,981.60

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Solution

The fourth proportional to 119,696.56, 165,180.36 and 65,981.60 is: 91,054.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,696.56 : 165,180.36 = 65,981.60 : x
  2. Step 2: Convert to fraction form
    119,696.56/165,180.36 = 65,981.60/x
  3. Step 3: Cross multiply
    119,696.56x = 165,180.36 × 65,981.60
  4. Step 4: Simplify right side
    119,696.56x = 10,898,864,441.38
  5. Step 5: Solve for x
    x = 10,898,864,441.38/119,696.56
  6. Step 6: Final answer
    x = 91,054.12

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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.