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Finding the Fourth Proportional to 208,884.80, 312,866.40 and 125,633.60

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Solution

The fourth proportional to 208,884.80, 312,866.40 and 125,633.60 is: 188,173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,884.80 : 312,866.40 = 125,633.60 : x
  2. Step 2: Convert to fraction form
    208,884.80/312,866.40 = 125,633.60/x
  3. Step 3: Cross multiply
    208,884.80x = 312,866.40 × 125,633.60
  4. Step 4: Simplify right side
    208,884.80x = 39,306,532,151.04
  5. Step 5: Solve for x
    x = 39,306,532,151.04/208,884.80
  6. Step 6: Final answer
    x = 188,173.25

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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.