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Finding the Fourth Proportional to 116,536.80, 174,934.80 and 72,213.60

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Solution

The fourth proportional to 116,536.80, 174,934.80 and 72,213.60 is: 108,400.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,536.80 : 174,934.80 = 72,213.60 : x
  2. Step 2: Convert to fraction form
    116,536.80/174,934.80 = 72,213.60/x
  3. Step 3: Cross multiply
    116,536.80x = 174,934.80 × 72,213.60
  4. Step 4: Simplify right side
    116,536.80x = 12,632,671,673.28
  5. Step 5: Solve for x
    x = 12,632,671,673.28/116,536.80
  6. Step 6: Final answer
    x = 108,400.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.