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Finding the Fourth Proportional to 105,431.62, 145,485.30 and 60,106

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Solution

The fourth proportional to 105,431.62, 145,485.30 and 60,106 is: 82,940.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,431.62 : 145,485.30 = 60,106 : x
  2. Step 2: Convert to fraction form
    105,431.62/145,485.30 = 60,106/x
  3. Step 3: Cross multiply
    105,431.62x = 145,485.30 × 60,106
  4. Step 4: Simplify right side
    105,431.62x = 8,744,539,441.80
  5. Step 5: Solve for x
    x = 8,744,539,441.80/105,431.62
  6. Step 6: Final answer
    x = 82,940.39

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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.