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Finding the Fourth Proportional to 105,405.34, 145,442.38 and 60,083.42

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Solution

The fourth proportional to 105,405.34, 145,442.38 and 60,083.42 is: 82,905.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,405.34 : 145,442.38 = 60,083.42 : x
  2. Step 2: Convert to fraction form
    105,405.34/145,442.38 = 60,083.42/x
  3. Step 3: Cross multiply
    105,405.34x = 145,442.38 × 60,083.42
  4. Step 4: Simplify right side
    105,405.34x = 8,738,675,603.34
  5. Step 5: Solve for x
    x = 8,738,675,603.34/105,405.34
  6. Step 6: Final answer
    x = 82,905.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.