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Finding the Fourth Proportional to 263,963.24, 364,264.80 and 149,240

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Solution

The fourth proportional to 263,963.24, 364,264.80 and 149,240 is: 205,948.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,963.24 : 364,264.80 = 149,240 : x
  2. Step 2: Convert to fraction form
    263,963.24/364,264.80 = 149,240/x
  3. Step 3: Cross multiply
    263,963.24x = 364,264.80 × 149,240
  4. Step 4: Simplify right side
    263,963.24x = 54,362,878,752
  5. Step 5: Solve for x
    x = 54,362,878,752/263,963.24
  6. Step 6: Final answer
    x = 205,948.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.