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Finding the Fourth Proportional to 116,098.38, 160,222.75 and 65,114.12

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Solution

The fourth proportional to 116,098.38, 160,222.75 and 65,114.12 is: 89,861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,098.38 : 160,222.75 = 65,114.12 : x
  2. Step 2: Convert to fraction form
    116,098.38/160,222.75 = 65,114.12/x
  3. Step 3: Cross multiply
    116,098.38x = 160,222.75 × 65,114.12
  4. Step 4: Simplify right side
    116,098.38x = 10,432,763,370.23
  5. Step 5: Solve for x
    x = 10,432,763,370.23/116,098.38
  6. Step 6: Final answer
    x = 89,861.40

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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.