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Finding the Fourth Proportional to 262,047.14, 361,634.73 and 148,889.06

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Solution

The fourth proportional to 262,047.14, 361,634.73 and 148,889.06 is: 205,472.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,047.14 : 361,634.73 = 148,889.06 : x
  2. Step 2: Convert to fraction form
    262,047.14/361,634.73 = 148,889.06/x
  3. Step 3: Cross multiply
    262,047.14x = 361,634.73 × 148,889.06
  4. Step 4: Simplify right side
    262,047.14x = 53,843,455,013.05
  5. Step 5: Solve for x
    x = 53,843,455,013.05/262,047.14
  6. Step 6: Final answer
    x = 205,472.40

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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.