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Finding the Fourth Proportional to 116,172.19, 160,018.91 and 82,122.12

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Solution

The fourth proportional to 116,172.19, 160,018.91 and 82,122.12 is: 113,117.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,172.19 : 160,018.91 = 82,122.12 : x
  2. Step 2: Convert to fraction form
    116,172.19/160,018.91 = 82,122.12/x
  3. Step 3: Cross multiply
    116,172.19x = 160,018.91 × 82,122.12
  4. Step 4: Simplify right side
    116,172.19x = 13,141,092,129.29
  5. Step 5: Solve for x
    x = 13,141,092,129.29/116,172.19
  6. Step 6: Final answer
    x = 113,117.37

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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.