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Finding the Fourth Proportional to 218,304, 301,273.56 and 132,322.32

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Solution

The fourth proportional to 218,304, 301,273.56 and 132,322.32 is: 182,613.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,304 : 301,273.56 = 132,322.32 : x
  2. Step 2: Convert to fraction form
    218,304/301,273.56 = 132,322.32/x
  3. Step 3: Cross multiply
    218,304x = 301,273.56 × 132,322.32
  4. Step 4: Simplify right side
    218,304x = 39,865,216,413.86
  5. Step 5: Solve for x
    x = 39,865,216,413.86/218,304
  6. Step 6: Final answer
    x = 182,613.31

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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.