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Finding the Fourth Proportional to 177,471.43, 265,782.78 and 102,363.88

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Solution

The fourth proportional to 177,471.43, 265,782.78 and 102,363.88 is: 153,301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,471.43 : 265,782.78 = 102,363.88 : x
  2. Step 2: Convert to fraction form
    177,471.43/265,782.78 = 102,363.88/x
  3. Step 3: Cross multiply
    177,471.43x = 265,782.78 × 102,363.88
  4. Step 4: Simplify right side
    177,471.43x = 27,206,556,597.99
  5. Step 5: Solve for x
    x = 27,206,556,597.99/177,471.43
  6. Step 6: Final answer
    x = 153,301.05

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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.