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Finding the Fourth Proportional to 197,754.96, 296,501.22 and 138,662.28

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Solution

The fourth proportional to 197,754.96, 296,501.22 and 138,662.28 is: 207,901.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,754.96 : 296,501.22 = 138,662.28 : x
  2. Step 2: Convert to fraction form
    197,754.96/296,501.22 = 138,662.28/x
  3. Step 3: Cross multiply
    197,754.96x = 296,501.22 × 138,662.28
  4. Step 4: Simplify right side
    197,754.96x = 41,113,535,187.98
  5. Step 5: Solve for x
    x = 41,113,535,187.98/197,754.96
  6. Step 6: Final answer
    x = 207,901.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.