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Finding the Fourth Proportional to 210,682.08, 290,243.52 and 146,905.92

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Solution

The fourth proportional to 210,682.08, 290,243.52 and 146,905.92 is: 202,383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,682.08 : 290,243.52 = 146,905.92 : x
  2. Step 2: Convert to fraction form
    210,682.08/290,243.52 = 146,905.92/x
  3. Step 3: Cross multiply
    210,682.08x = 290,243.52 × 146,905.92
  4. Step 4: Simplify right side
    210,682.08x = 42,638,491,329.64
  5. Step 5: Solve for x
    x = 42,638,491,329.64/210,682.08
  6. Step 6: Final answer
    x = 202,383.09

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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.