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Finding the Fourth Proportional to 116,019.69, 160,071.22 and 65,025.34

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Solution

The fourth proportional to 116,019.69, 160,071.22 and 65,025.34 is: 89,714.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,019.69 : 160,071.22 = 65,025.34 : x
  2. Step 2: Convert to fraction form
    116,019.69/160,071.22 = 65,025.34/x
  3. Step 3: Cross multiply
    116,019.69x = 160,071.22 × 65,025.34
  4. Step 4: Simplify right side
    116,019.69x = 10,408,685,504.71
  5. Step 5: Solve for x
    x = 10,408,685,504.71/116,019.69
  6. Step 6: Final answer
    x = 89,714.82

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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.