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Finding the Fourth Proportional to 188,038, 259,500.12 and 108,550

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Solution

The fourth proportional to 188,038, 259,500.12 and 108,550 is: 149,803.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,038 : 259,500.12 = 108,550 : x
  2. Step 2: Convert to fraction form
    188,038/259,500.12 = 108,550/x
  3. Step 3: Cross multiply
    188,038x = 259,500.12 × 108,550
  4. Step 4: Simplify right side
    188,038x = 28,168,738,026
  5. Step 5: Solve for x
    x = 28,168,738,026/188,038
  6. Step 6: Final answer
    x = 149,803.43

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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.