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Finding the Fourth Proportional to 102,536.88, 141,495.48 and 57,822

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Solution

The fourth proportional to 102,536.88, 141,495.48 and 57,822 is: 79,791.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,536.88 : 141,495.48 = 57,822 : x
  2. Step 2: Convert to fraction form
    102,536.88/141,495.48 = 57,822/x
  3. Step 3: Cross multiply
    102,536.88x = 141,495.48 × 57,822
  4. Step 4: Simplify right side
    102,536.88x = 8,181,551,644.56
  5. Step 5: Solve for x
    x = 8,181,551,644.56/102,536.88
  6. Step 6: Final answer
    x = 79,791.31

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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.