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Finding the Fourth Proportional to 146,256, 219,384 and 35,448

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Solution

The fourth proportional to 146,256, 219,384 and 35,448 is: 53,172

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,256 : 219,384 = 35,448 : x
  2. Step 2: Convert to fraction form
    146,256/219,384 = 35,448/x
  3. Step 3: Cross multiply
    146,256x = 219,384 × 35,448
  4. Step 4: Simplify right side
    146,256x = 7,776,724,032
  5. Step 5: Solve for x
    x = 7,776,724,032/146,256
  6. Step 6: Final answer
    x = 53,172

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.