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Finding the Fourth Proportional to 153,738.37, 230,935.34 and 144,749.80

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Solution

The fourth proportional to 153,738.37, 230,935.34 and 144,749.80 is: 217,433.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,738.37 : 230,935.34 = 144,749.80 : x
  2. Step 2: Convert to fraction form
    153,738.37/230,935.34 = 144,749.80/x
  3. Step 3: Cross multiply
    153,738.37x = 230,935.34 × 144,749.80
  4. Step 4: Simplify right side
    153,738.37x = 33,427,844,277.93
  5. Step 5: Solve for x
    x = 33,427,844,277.93/153,738.37
  6. Step 6: Final answer
    x = 217,433.32

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