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Finding the Fourth Proportional to 116,019, 159,832.98 and 109,043.82

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Solution

The fourth proportional to 116,019, 159,832.98 and 109,043.82 is: 150,223.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,019 : 159,832.98 = 109,043.82 : x
  2. Step 2: Convert to fraction form
    116,019/159,832.98 = 109,043.82/x
  3. Step 3: Cross multiply
    116,019x = 159,832.98 × 109,043.82
  4. Step 4: Simplify right side
    116,019x = 17,428,798,701.18
  5. Step 5: Solve for x
    x = 17,428,798,701.18/116,019
  6. Step 6: Final answer
    x = 150,223.66

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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.