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Finding the Fourth Proportional to 119,800.32, 165,321.80 and 66,085.38

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Solution

The fourth proportional to 119,800.32, 165,321.80 and 66,085.38 is: 91,196.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,800.32 : 165,321.80 = 66,085.38 : x
  2. Step 2: Convert to fraction form
    119,800.32/165,321.80 = 66,085.38/x
  3. Step 3: Cross multiply
    119,800.32x = 165,321.80 × 66,085.38
  4. Step 4: Simplify right side
    119,800.32x = 10,925,353,975.28
  5. Step 5: Solve for x
    x = 10,925,353,975.28/119,800.32
  6. Step 6: Final answer
    x = 91,196.37

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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.