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Finding the Fourth Proportional to 192,503.75, 265,647.52 and 106,457.15

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Solution

The fourth proportional to 192,503.75, 265,647.52 and 106,457.15 is: 146,906.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,503.75 : 265,647.52 = 106,457.15 : x
  2. Step 2: Convert to fraction form
    192,503.75/265,647.52 = 106,457.15/x
  3. Step 3: Cross multiply
    192,503.75x = 265,647.52 × 106,457.15
  4. Step 4: Simplify right side
    192,503.75x = 28,280,076,289.39
  5. Step 5: Solve for x
    x = 28,280,076,289.39/192,503.75
  6. Step 6: Final answer
    x = 146,906.63

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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.