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Finding the Fourth Proportional to 188,423.33, 260,021.23 and 103,538.57

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Solution

The fourth proportional to 188,423.33, 260,021.23 and 103,538.57 is: 142,881.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,423.33 : 260,021.23 = 103,538.57 : x
  2. Step 2: Convert to fraction form
    188,423.33/260,021.23 = 103,538.57/x
  3. Step 3: Cross multiply
    188,423.33x = 260,021.23 × 103,538.57
  4. Step 4: Simplify right side
    188,423.33x = 26,922,224,764.89
  5. Step 5: Solve for x
    x = 26,922,224,764.89/188,423.33
  6. Step 6: Final answer
    x = 142,881.59

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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.