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Finding the Fourth Proportional to 103,071.96, 142,525.62 and 81,814.32

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Solution

The fourth proportional to 103,071.96, 142,525.62 and 81,814.32 is: 113,131.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,071.96 : 142,525.62 = 81,814.32 : x
  2. Step 2: Convert to fraction form
    103,071.96/142,525.62 = 81,814.32/x
  3. Step 3: Cross multiply
    103,071.96x = 142,525.62 × 81,814.32
  4. Step 4: Simplify right side
    103,071.96x = 11,660,636,682.88
  5. Step 5: Solve for x
    x = 11,660,636,682.88/103,071.96
  6. Step 6: Final answer
    x = 113,131.03

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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.