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Finding the Fourth Proportional to 263,252.63, 363,288.71 and 148,555.65

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Solution

The fourth proportional to 263,252.63, 363,288.71 and 148,555.65 is: 205,006.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,252.63 : 363,288.71 = 148,555.65 : x
  2. Step 2: Convert to fraction form
    263,252.63/363,288.71 = 148,555.65/x
  3. Step 3: Cross multiply
    263,252.63x = 363,288.71 × 148,555.65
  4. Step 4: Simplify right side
    263,252.63x = 53,968,592,185.43
  5. Step 5: Solve for x
    x = 53,968,592,185.43/263,252.63
  6. Step 6: Final answer
    x = 205,006.85

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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.