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Finding the Fourth Proportional to 116,115.40, 160,197.78 and 65,814.40

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Solution

The fourth proportional to 116,115.40, 160,197.78 and 65,814.40 is: 90,800.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,115.40 : 160,197.78 = 65,814.40 : x
  2. Step 2: Convert to fraction form
    116,115.40/160,197.78 = 65,814.40/x
  3. Step 3: Cross multiply
    116,115.40x = 160,197.78 × 65,814.40
  4. Step 4: Simplify right side
    116,115.40x = 10,543,320,772.03
  5. Step 5: Solve for x
    x = 10,543,320,772.03/116,115.40
  6. Step 6: Final answer
    x = 90,800.37

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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.