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Finding the Fourth Proportional to 302,074.31, 416,853.68 and 166,108.12

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Solution

The fourth proportional to 302,074.31, 416,853.68 and 166,108.12 is: 229,224.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,074.31 : 416,853.68 = 166,108.12 : x
  2. Step 2: Convert to fraction form
    302,074.31/416,853.68 = 166,108.12/x
  3. Step 3: Cross multiply
    302,074.31x = 416,853.68 × 166,108.12
  4. Step 4: Simplify right side
    302,074.31x = 69,242,779,227.21
  5. Step 5: Solve for x
    x = 69,242,779,227.21/302,074.31
  6. Step 6: Final answer
    x = 229,224.32

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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.