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Finding the Fourth Proportional to 302,085.69, 416,890.30 and 181,182.86

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Solution

The fourth proportional to 302,085.69, 416,890.30 and 181,182.86 is: 250,039.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,085.69 : 416,890.30 = 181,182.86 : x
  2. Step 2: Convert to fraction form
    302,085.69/416,890.30 = 181,182.86/x
  3. Step 3: Cross multiply
    302,085.69x = 416,890.30 × 181,182.86
  4. Step 4: Simplify right side
    302,085.69x = 75,533,376,860.26
  5. Step 5: Solve for x
    x = 75,533,376,860.26/302,085.69
  6. Step 6: Final answer
    x = 250,039.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.