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Finding the Fourth Proportional to 116,097.34, 160,216.14 and 65,121.39

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Solution

The fourth proportional to 116,097.34, 160,216.14 and 65,121.39 is: 89,868.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,097.34 : 160,216.14 = 65,121.39 : x
  2. Step 2: Convert to fraction form
    116,097.34/160,216.14 = 65,121.39/x
  3. Step 3: Cross multiply
    116,097.34x = 160,216.14 × 65,121.39
  4. Step 4: Simplify right side
    116,097.34x = 10,433,497,737.23
  5. Step 5: Solve for x
    x = 10,433,497,737.23/116,097.34
  6. Step 6: Final answer
    x = 89,868.53

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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.