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Finding the Fourth Proportional to 263,570.16, 363,727.44 and 142,712.88

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Solution

The fourth proportional to 263,570.16, 363,727.44 and 142,712.88 is: 196,944.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,570.16 : 363,727.44 = 142,712.88 : x
  2. Step 2: Convert to fraction form
    263,570.16/363,727.44 = 142,712.88/x
  3. Step 3: Cross multiply
    263,570.16x = 363,727.44 × 142,712.88
  4. Step 4: Simplify right side
    263,570.16x = 51,908,590,497.43
  5. Step 5: Solve for x
    x = 51,908,590,497.43/263,570.16
  6. Step 6: Final answer
    x = 196,944.11

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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.