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Finding the Fourth Proportional to 102,923, 142,033.74 and 55,819

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Solution

The fourth proportional to 102,923, 142,033.74 and 55,819 is: 77,030.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,923 : 142,033.74 = 55,819 : x
  2. Step 2: Convert to fraction form
    102,923/142,033.74 = 55,819/x
  3. Step 3: Cross multiply
    102,923x = 142,033.74 × 55,819
  4. Step 4: Simplify right side
    102,923x = 7,928,181,333.06
  5. Step 5: Solve for x
    x = 7,928,181,333.06/102,923
  6. Step 6: Final answer
    x = 77,030.22

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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.