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Finding the Fourth Proportional to 177,467.31, 265,900.32 and 107,199

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Solution

The fourth proportional to 177,467.31, 265,900.32 and 107,199 is: 160,616.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,467.31 : 265,900.32 = 107,199 : x
  2. Step 2: Convert to fraction form
    177,467.31/265,900.32 = 107,199/x
  3. Step 3: Cross multiply
    177,467.31x = 265,900.32 × 107,199
  4. Step 4: Simplify right side
    177,467.31x = 28,504,248,403.68
  5. Step 5: Solve for x
    x = 28,504,248,403.68/177,467.31
  6. Step 6: Final answer
    x = 160,616.90

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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.