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Finding the Fourth Proportional to 263,782.48, 364,019.28 and 142,926.82

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Solution

The fourth proportional to 263,782.48, 364,019.28 and 142,926.82 is: 197,238.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,782.48 : 364,019.28 = 142,926.82 : x
  2. Step 2: Convert to fraction form
    263,782.48/364,019.28 = 142,926.82/x
  3. Step 3: Cross multiply
    263,782.48x = 364,019.28 × 142,926.82
  4. Step 4: Simplify right side
    263,782.48x = 52,028,118,109.09
  5. Step 5: Solve for x
    x = 52,028,118,109.09/263,782.48
  6. Step 6: Final answer
    x = 197,238.72

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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.