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Finding the Fourth Proportional to 226,582.74, 312,699.47 and 149,969.86

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Solution

The fourth proportional to 226,582.74, 312,699.47 and 149,969.86 is: 206,968.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,582.74 : 312,699.47 = 149,969.86 : x
  2. Step 2: Convert to fraction form
    226,582.74/312,699.47 = 149,969.86/x
  3. Step 3: Cross multiply
    226,582.74x = 312,699.47 × 149,969.86
  4. Step 4: Simplify right side
    226,582.74x = 46,895,494,206.38
  5. Step 5: Solve for x
    x = 46,895,494,206.38/226,582.74
  6. Step 6: Final answer
    x = 206,968.52

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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.