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Finding the Fourth Proportional to 262,208.96, 361,879.46 and 149,048.72

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Solution

The fourth proportional to 262,208.96, 361,879.46 and 149,048.72 is: 205,704.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,208.96 : 361,879.46 = 149,048.72 : x
  2. Step 2: Convert to fraction form
    262,208.96/361,879.46 = 149,048.72/x
  3. Step 3: Cross multiply
    262,208.96x = 361,879.46 × 149,048.72
  4. Step 4: Simplify right side
    262,208.96x = 53,937,670,307.29
  5. Step 5: Solve for x
    x = 53,937,670,307.29/262,208.96
  6. Step 6: Final answer
    x = 205,704.91

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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.