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Finding the Fourth Proportional to 188,584.16, 260,230.80 and 111,047.60

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Solution

The fourth proportional to 188,584.16, 260,230.80 and 111,047.60 is: 153,236.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,584.16 : 260,230.80 = 111,047.60 : x
  2. Step 2: Convert to fraction form
    188,584.16/260,230.80 = 111,047.60/x
  3. Step 3: Cross multiply
    188,584.16x = 260,230.80 × 111,047.60
  4. Step 4: Simplify right side
    188,584.16x = 28,898,005,786.08
  5. Step 5: Solve for x
    x = 28,898,005,786.08/188,584.16
  6. Step 6: Final answer
    x = 153,236.65

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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.