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Finding the Fourth Proportional to 263,004.96, 362,928.62 and 148,287.71

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Solution

The fourth proportional to 263,004.96, 362,928.62 and 148,287.71 is: 204,626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,004.96 : 362,928.62 = 148,287.71 : x
  2. Step 2: Convert to fraction form
    263,004.96/362,928.62 = 148,287.71/x
  3. Step 3: Cross multiply
    263,004.96x = 362,928.62 × 148,287.71
  4. Step 4: Simplify right side
    263,004.96x = 53,817,851,397.18
  5. Step 5: Solve for x
    x = 53,817,851,397.18/263,004.96
  6. Step 6: Final answer
    x = 204,626.75

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Why These Related Problems?

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