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Finding the Fourth Proportional to 233,698, 322,503.24 and 126,268.06

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Solution

The fourth proportional to 233,698, 322,503.24 and 126,268.06 is: 174,249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,698 : 322,503.24 = 126,268.06 : x
  2. Step 2: Convert to fraction form
    233,698/322,503.24 = 126,268.06/x
  3. Step 3: Cross multiply
    233,698x = 322,503.24 × 126,268.06
  4. Step 4: Simplify right side
    233,698x = 40,721,858,458.51
  5. Step 5: Solve for x
    x = 40,721,858,458.51/233,698
  6. Step 6: Final answer
    x = 174,249.92

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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.