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Finding the Fourth Proportional to 233,918.82, 322,813.80 and 143,324.70

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Solution

The fourth proportional to 233,918.82, 322,813.80 and 143,324.70 is: 197,791.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,918.82 : 322,813.80 = 143,324.70 : x
  2. Step 2: Convert to fraction form
    233,918.82/322,813.80 = 143,324.70/x
  3. Step 3: Cross multiply
    233,918.82x = 322,813.80 × 143,324.70
  4. Step 4: Simplify right side
    233,918.82x = 46,267,191,040.86
  5. Step 5: Solve for x
    x = 46,267,191,040.86/233,918.82
  6. Step 6: Final answer
    x = 197,791.66

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1.5x scale

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.