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Finding the Fourth Proportional to 233,515.25, 322,251.41 and 132,913.25

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Solution

The fourth proportional to 233,515.25, 322,251.41 and 132,913.25 is: 183,420.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,515.25 : 322,251.41 = 132,913.25 : x
  2. Step 2: Convert to fraction form
    233,515.25/322,251.41 = 132,913.25/x
  3. Step 3: Cross multiply
    233,515.25x = 322,251.41 × 132,913.25
  4. Step 4: Simplify right side
    233,515.25x = 42,831,481,555.62
  5. Step 5: Solve for x
    x = 42,831,481,555.62/233,515.25
  6. Step 6: Final answer
    x = 183,420.49

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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.