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Finding the Fourth Proportional to 137,955.52, 190,377.84 and 84,233.08

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Solution

The fourth proportional to 137,955.52, 190,377.84 and 84,233.08 is: 116,241.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,955.52 : 190,377.84 = 84,233.08 : x
  2. Step 2: Convert to fraction form
    137,955.52/190,377.84 = 84,233.08/x
  3. Step 3: Cross multiply
    137,955.52x = 190,377.84 × 84,233.08
  4. Step 4: Simplify right side
    137,955.52x = 16,036,111,826.95
  5. Step 5: Solve for x
    x = 16,036,111,826.95/137,955.52
  6. Step 6: Final answer
    x = 116,241.18

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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.