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Finding the Fourth Proportional to 146,222, 219,333.72 and 35,414

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Solution

The fourth proportional to 146,222, 219,333.72 and 35,414 is: 53,121.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,222 : 219,333.72 = 35,414 : x
  2. Step 2: Convert to fraction form
    146,222/219,333.72 = 35,414/x
  3. Step 3: Cross multiply
    146,222x = 219,333.72 × 35,414
  4. Step 4: Simplify right side
    146,222x = 7,767,484,360.08
  5. Step 5: Solve for x
    x = 7,767,484,360.08/146,222
  6. Step 6: Final answer
    x = 53,121.17

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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.