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Finding the Fourth Proportional to 102,991, 142,111.14 and 57,670.96

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Solution

The fourth proportional to 102,991, 142,111.14 and 57,670.96 is: 79,576.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,991 : 142,111.14 = 57,670.96 : x
  2. Step 2: Convert to fraction form
    102,991/142,111.14 = 57,670.96/x
  3. Step 3: Cross multiply
    102,991x = 142,111.14 × 57,670.96
  4. Step 4: Simplify right side
    102,991x = 8,195,685,870.49
  5. Step 5: Solve for x
    x = 8,195,685,870.49/102,991
  6. Step 6: Final answer
    x = 79,576.72

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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.