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Finding the Fourth Proportional to 106,083, 146,394.54 and 58,339.44

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Solution

The fourth proportional to 106,083, 146,394.54 and 58,339.44 is: 80,508.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,083 : 146,394.54 = 58,339.44 : x
  2. Step 2: Convert to fraction form
    106,083/146,394.54 = 58,339.44/x
  3. Step 3: Cross multiply
    106,083x = 146,394.54 × 58,339.44
  4. Step 4: Simplify right side
    106,083x = 8,540,575,482.66
  5. Step 5: Solve for x
    x = 8,540,575,482.66/106,083
  6. Step 6: Final answer
    x = 80,508.43

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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.