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Finding the Fourth Proportional to 103,072.96, 142,527 and 81,815.32

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Solution

The fourth proportional to 103,072.96, 142,527 and 81,815.32 is: 113,132.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,072.96 : 142,527 = 81,815.32 : x
  2. Step 2: Convert to fraction form
    103,072.96/142,527 = 81,815.32/x
  3. Step 3: Cross multiply
    103,072.96x = 142,527 × 81,815.32
  4. Step 4: Simplify right side
    103,072.96x = 11,660,892,113.64
  5. Step 5: Solve for x
    x = 11,660,892,113.64/103,072.96
  6. Step 6: Final answer
    x = 113,132.41

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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.