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Finding the Fourth Proportional to 177,719.12, 245,274 and 102,266

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Solution

The fourth proportional to 177,719.12, 245,274 and 102,266 is: 141,139.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,719.12 : 245,274 = 102,266 : x
  2. Step 2: Convert to fraction form
    177,719.12/245,274 = 102,266/x
  3. Step 3: Cross multiply
    177,719.12x = 245,274 × 102,266
  4. Step 4: Simplify right side
    177,719.12x = 25,083,190,884
  5. Step 5: Solve for x
    x = 25,083,190,884/177,719.12
  6. Step 6: Final answer
    x = 141,139.52

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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.