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Finding the Fourth Proportional to 188,573.76, 260,233.28 and 102,532.80

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Solution

The fourth proportional to 188,573.76, 260,233.28 and 102,532.80 is: 141,496.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,573.76 : 260,233.28 = 102,532.80 : x
  2. Step 2: Convert to fraction form
    188,573.76/260,233.28 = 102,532.80/x
  3. Step 3: Cross multiply
    188,573.76x = 260,233.28 × 102,532.80
  4. Step 4: Simplify right side
    188,573.76x = 26,682,446,851.58
  5. Step 5: Solve for x
    x = 26,682,446,851.58/188,573.76
  6. Step 6: Final answer
    x = 141,496.07

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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.