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Finding the Fourth Proportional to 262,271.66, 361,934.24 and 147,550.41

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Solution

The fourth proportional to 262,271.66, 361,934.24 and 147,550.41 is: 203,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,271.66 : 361,934.24 = 147,550.41 : x
  2. Step 2: Convert to fraction form
    262,271.66/361,934.24 = 147,550.41/x
  3. Step 3: Cross multiply
    262,271.66x = 361,934.24 × 147,550.41
  4. Step 4: Simplify right side
    262,271.66x = 53,403,544,767.29
  5. Step 5: Solve for x
    x = 53,403,544,767.29/262,271.66
  6. Step 6: Final answer
    x = 203,619.20

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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.