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Finding the Fourth Proportional to 209,192, 288,684.96 and 119,785.28

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Solution

The fourth proportional to 209,192, 288,684.96 and 119,785.28 is: 165,303.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,192 : 288,684.96 = 119,785.28 : x
  2. Step 2: Convert to fraction form
    209,192/288,684.96 = 119,785.28/x
  3. Step 3: Cross multiply
    209,192x = 288,684.96 × 119,785.28
  4. Step 4: Simplify right side
    209,192x = 34,580,208,765.39
  5. Step 5: Solve for x
    x = 34,580,208,765.39/209,192
  6. Step 6: Final answer
    x = 165,303.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.