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Finding the Fourth Proportional to 152,091.40, 209,887.46 and 84,104.84

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Solution

The fourth proportional to 152,091.40, 209,887.46 and 84,104.84 is: 116,065.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,091.40 : 209,887.46 = 84,104.84 : x
  2. Step 2: Convert to fraction form
    152,091.40/209,887.46 = 84,104.84/x
  3. Step 3: Cross multiply
    152,091.40x = 209,887.46 × 84,104.84
  4. Step 4: Simplify right side
    152,091.40x = 17,652,551,241.31
  5. Step 5: Solve for x
    x = 17,652,551,241.31/152,091.40
  6. Step 6: Final answer
    x = 116,065.41

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