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Finding the Fourth Proportional to 219,316.14, 302,653.62 and 123,826.86

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Solution

The fourth proportional to 219,316.14, 302,653.62 and 123,826.86 is: 170,879.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,316.14 : 302,653.62 = 123,826.86 : x
  2. Step 2: Convert to fraction form
    219,316.14/302,653.62 = 123,826.86/x
  3. Step 3: Cross multiply
    219,316.14x = 302,653.62 × 123,826.86
  4. Step 4: Simplify right side
    219,316.14x = 37,476,647,432.23
  5. Step 5: Solve for x
    x = 37,476,647,432.23/219,316.14
  6. Step 6: Final answer
    x = 170,879.57

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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.