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Finding the Fourth Proportional to 105,907.83, 146,153.82 and 58,162.20

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Solution

The fourth proportional to 105,907.83, 146,153.82 and 58,162.20 is: 80,264.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,907.83 : 146,153.82 = 58,162.20 : x
  2. Step 2: Convert to fraction form
    105,907.83/146,153.82 = 58,162.20/x
  3. Step 3: Cross multiply
    105,907.83x = 146,153.82 × 58,162.20
  4. Step 4: Simplify right side
    105,907.83x = 8,500,627,709.60
  5. Step 5: Solve for x
    x = 8,500,627,709.60/105,907.83
  6. Step 6: Final answer
    x = 80,264.39

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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.