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Finding the Fourth Proportional to 301,668.96, 416,291.76 and 167,541.60

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Solution

The fourth proportional to 301,668.96, 416,291.76 and 167,541.60 is: 231,201.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,668.96 : 416,291.76 = 167,541.60 : x
  2. Step 2: Convert to fraction form
    301,668.96/416,291.76 = 167,541.60/x
  3. Step 3: Cross multiply
    301,668.96x = 416,291.76 × 167,541.60
  4. Step 4: Simplify right side
    301,668.96x = 69,746,187,537.22
  5. Step 5: Solve for x
    x = 69,746,187,537.22/301,668.96
  6. Step 6: Final answer
    x = 231,201.07

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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.