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Finding the Fourth Proportional to 118,304, 177,368.52 and 71,546.48

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Solution

The fourth proportional to 118,304, 177,368.52 and 71,546.48 is: 107,266.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,304 : 177,368.52 = 71,546.48 : x
  2. Step 2: Convert to fraction form
    118,304/177,368.52 = 71,546.48/x
  3. Step 3: Cross multiply
    118,304x = 177,368.52 × 71,546.48
  4. Step 4: Simplify right side
    118,304x = 12,690,093,268.81
  5. Step 5: Solve for x
    x = 12,690,093,268.81/118,304
  6. Step 6: Final answer
    x = 107,266.81

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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.