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Finding the Fourth Proportional to 222,057, 333,088.34 and 64,285.61

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Solution

The fourth proportional to 222,057, 333,088.34 and 64,285.61 is: 96,429.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,057 : 333,088.34 = 64,285.61 : x
  2. Step 2: Convert to fraction form
    222,057/333,088.34 = 64,285.61/x
  3. Step 3: Cross multiply
    222,057x = 333,088.34 × 64,285.61
  4. Step 4: Simplify right side
    222,057x = 21,412,785,133.92
  5. Step 5: Solve for x
    x = 21,412,785,133.92/222,057
  6. Step 6: Final answer
    x = 96,429.23

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Why These Related Problems?

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