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Finding the Fourth Proportional to 302,105.86, 416,917.06 and 173,069.27

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Solution

The fourth proportional to 302,105.86, 416,917.06 and 173,069.27 is: 238,841.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,105.86 : 416,917.06 = 173,069.27 : x
  2. Step 2: Convert to fraction form
    302,105.86/416,917.06 = 173,069.27/x
  3. Step 3: Cross multiply
    302,105.86x = 416,917.06 × 173,069.27
  4. Step 4: Simplify right side
    302,105.86x = 72,155,532,483.38
  5. Step 5: Solve for x
    x = 72,155,532,483.38/302,105.86
  6. Step 6: Final answer
    x = 238,841.88

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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.