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Finding the Fourth Proportional to 302,043.09, 416,821.02 and 166,085.81

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Solution

The fourth proportional to 302,043.09, 416,821.02 and 166,085.81 is: 229,199.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,043.09 : 416,821.02 = 166,085.81 : x
  2. Step 2: Convert to fraction form
    302,043.09/416,821.02 = 166,085.81/x
  3. Step 3: Cross multiply
    302,043.09x = 416,821.02 × 166,085.81
  4. Step 4: Simplify right side
    302,043.09x = 69,228,054,647.62
  5. Step 5: Solve for x
    x = 69,228,054,647.62/302,043.09
  6. Step 6: Final answer
    x = 229,199.27

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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.