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Finding the Fourth Proportional to 332,109, 458,264.16 and 188,853.18

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Solution

The fourth proportional to 332,109, 458,264.16 and 188,853.18 is: 260,591.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,109 : 458,264.16 = 188,853.18 : x
  2. Step 2: Convert to fraction form
    332,109/458,264.16 = 188,853.18/x
  3. Step 3: Cross multiply
    332,109x = 458,264.16 × 188,853.18
  4. Step 4: Simplify right side
    332,109x = 86,544,643,896.03
  5. Step 5: Solve for x
    x = 86,544,643,896.03/332,109
  6. Step 6: Final answer
    x = 260,591.08

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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.