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Finding the Fourth Proportional to 302,052.10, 416,821.23 and 166,085.10

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Solution

The fourth proportional to 302,052.10, 416,821.23 and 166,085.10 is: 229,191.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,052.10 : 416,821.23 = 166,085.10 : x
  2. Step 2: Convert to fraction form
    302,052.10/416,821.23 = 166,085.10/x
  3. Step 3: Cross multiply
    302,052.10x = 416,821.23 × 166,085.10
  4. Step 4: Simplify right side
    302,052.10x = 69,227,795,666.67
  5. Step 5: Solve for x
    x = 69,227,795,666.67/302,052.10
  6. Step 6: Final answer
    x = 229,191.57

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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.