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Finding the Fourth Proportional to 301,151.98, 415,582.53 and 165,184.71

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Solution

The fourth proportional to 301,151.98, 415,582.53 and 165,184.71 is: 227,950.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,151.98 : 415,582.53 = 165,184.71 : x
  2. Step 2: Convert to fraction form
    301,151.98/415,582.53 = 165,184.71/x
  3. Step 3: Cross multiply
    301,151.98x = 415,582.53 × 165,184.71
  4. Step 4: Simplify right side
    301,151.98x = 68,647,879,699.12
  5. Step 5: Solve for x
    x = 68,647,879,699.12/301,151.98
  6. Step 6: Final answer
    x = 227,950.95

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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.