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Finding the Fourth Proportional to 263,376.51, 363,456.99 and 142,515.24

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Solution

The fourth proportional to 263,376.51, 363,456.99 and 142,515.24 is: 196,669.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,376.51 : 363,456.99 = 142,515.24 : x
  2. Step 2: Convert to fraction form
    263,376.51/363,456.99 = 142,515.24/x
  3. Step 3: Cross multiply
    263,376.51x = 363,456.99 × 142,515.24
  4. Step 4: Simplify right side
    263,376.51x = 51,798,160,159.53
  5. Step 5: Solve for x
    x = 51,798,160,159.53/263,376.51
  6. Step 6: Final answer
    x = 196,669.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.