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Finding the Fourth Proportional to 140,313.96, 193,577.94 and 89,313.48

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Solution

The fourth proportional to 140,313.96, 193,577.94 and 89,313.48 is: 123,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,313.96 : 193,577.94 = 89,313.48 : x
  2. Step 2: Convert to fraction form
    140,313.96/193,577.94 = 89,313.48/x
  3. Step 3: Cross multiply
    140,313.96x = 193,577.94 × 89,313.48
  4. Step 4: Simplify right side
    140,313.96x = 17,289,119,472.63
  5. Step 5: Solve for x
    x = 17,289,119,472.63/140,313.96
  6. Step 6: Final answer
    x = 123,217.39

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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.