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Finding the Fourth Proportional to 205,536.40, 308,304.60 and 149,111.80

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Solution

The fourth proportional to 205,536.40, 308,304.60 and 149,111.80 is: 223,667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,536.40 : 308,304.60 = 149,111.80 : x
  2. Step 2: Convert to fraction form
    205,536.40/308,304.60 = 149,111.80/x
  3. Step 3: Cross multiply
    205,536.40x = 308,304.60 × 149,111.80
  4. Step 4: Simplify right side
    205,536.40x = 45,971,853,854.28
  5. Step 5: Solve for x
    x = 45,971,853,854.28/205,536.40
  6. Step 6: Final answer
    x = 223,667.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.