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Finding the Fourth Proportional to 116,193.92, 160,338.24 and 65,897.60

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Solution

The fourth proportional to 116,193.92, 160,338.24 and 65,897.60 is: 90,933.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,193.92 : 160,338.24 = 65,897.60 : x
  2. Step 2: Convert to fraction form
    116,193.92/160,338.24 = 65,897.60/x
  3. Step 3: Cross multiply
    116,193.92x = 160,338.24 × 65,897.60
  4. Step 4: Simplify right side
    116,193.92x = 10,565,905,204.22
  5. Step 5: Solve for x
    x = 10,565,905,204.22/116,193.92
  6. Step 6: Final answer
    x = 90,933.37

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1.5x scale

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.