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Finding the Fourth Proportional to 213,852.26, 295,181.85 and 123,268.77

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Solution

The fourth proportional to 213,852.26, 295,181.85 and 123,268.77 is: 170,148.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,852.26 : 295,181.85 = 123,268.77 : x
  2. Step 2: Convert to fraction form
    213,852.26/295,181.85 = 123,268.77/x
  3. Step 3: Cross multiply
    213,852.26x = 295,181.85 × 123,268.77
  4. Step 4: Simplify right side
    213,852.26x = 36,386,703,575.82
  5. Step 5: Solve for x
    x = 36,386,703,575.82/213,852.26
  6. Step 6: Final answer
    x = 170,148.80

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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.