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Finding the Fourth Proportional to 146,484.72, 202,156.92 and 82,828.08

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Solution

The fourth proportional to 146,484.72, 202,156.92 and 82,828.08 is: 114,307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,484.72 : 202,156.92 = 82,828.08 : x
  2. Step 2: Convert to fraction form
    146,484.72/202,156.92 = 82,828.08/x
  3. Step 3: Cross multiply
    146,484.72x = 202,156.92 × 82,828.08
  4. Step 4: Simplify right side
    146,484.72x = 16,744,269,542.31
  5. Step 5: Solve for x
    x = 16,744,269,542.31/146,484.72
  6. Step 6: Final answer
    x = 114,307.28

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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.