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Finding the Fourth Proportional to 263,009.69, 362,946.11 and 148,287.35

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Solution

The fourth proportional to 263,009.69, 362,946.11 and 148,287.35 is: 204,632.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,009.69 : 362,946.11 = 148,287.35 : x
  2. Step 2: Convert to fraction form
    263,009.69/362,946.11 = 148,287.35/x
  3. Step 3: Cross multiply
    263,009.69x = 362,946.11 × 148,287.35
  4. Step 4: Simplify right side
    263,009.69x = 53,820,314,288.54
  5. Step 5: Solve for x
    x = 53,820,314,288.54/263,009.69
  6. Step 6: Final answer
    x = 204,632.44

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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.