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Finding the Fourth Proportional to 233,928, 322,827.12 and 133,326

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Solution

The fourth proportional to 233,928, 322,827.12 and 133,326 is: 183,993.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,928 : 322,827.12 = 133,326 : x
  2. Step 2: Convert to fraction form
    233,928/322,827.12 = 133,326/x
  3. Step 3: Cross multiply
    233,928x = 322,827.12 × 133,326
  4. Step 4: Simplify right side
    233,928x = 43,041,248,601.12
  5. Step 5: Solve for x
    x = 43,041,248,601.12/233,928
  6. Step 6: Final answer
    x = 183,993.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.