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Finding the Fourth Proportional to 137,954.52, 190,376.46 and 84,232.08

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Solution

The fourth proportional to 137,954.52, 190,376.46 and 84,232.08 is: 116,239.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,954.52 : 190,376.46 = 84,232.08 : x
  2. Step 2: Convert to fraction form
    137,954.52/190,376.46 = 84,232.08/x
  3. Step 3: Cross multiply
    137,954.52x = 190,376.46 × 84,232.08
  4. Step 4: Simplify right side
    137,954.52x = 16,035,805,208.84
  5. Step 5: Solve for x
    x = 16,035,805,208.84/137,954.52
  6. Step 6: Final answer
    x = 116,239.80

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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.