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Finding the Fourth Proportional to 232,809.66, 348,922.32 and 99,533.27

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Solution

The fourth proportional to 232,809.66, 348,922.32 and 99,533.27 is: 149,174.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,809.66 : 348,922.32 = 99,533.27 : x
  2. Step 2: Convert to fraction form
    232,809.66/348,922.32 = 99,533.27/x
  3. Step 3: Cross multiply
    232,809.66x = 348,922.32 × 99,533.27
  4. Step 4: Simplify right side
    232,809.66x = 34,729,379,485.59
  5. Step 5: Solve for x
    x = 34,729,379,485.59/232,809.66
  6. Step 6: Final answer
    x = 149,174.99

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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.