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Finding the Fourth Proportional to 186,410.92, 257,255.04 and 104,743.48

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Solution

The fourth proportional to 186,410.92, 257,255.04 and 104,743.48 is: 144,550.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,410.92 : 257,255.04 = 104,743.48 : x
  2. Step 2: Convert to fraction form
    186,410.92/257,255.04 = 104,743.48/x
  3. Step 3: Cross multiply
    186,410.92x = 257,255.04 × 104,743.48
  4. Step 4: Simplify right side
    186,410.92x = 26,945,788,137.14
  5. Step 5: Solve for x
    x = 26,945,788,137.14/186,410.92
  6. Step 6: Final answer
    x = 144,550.48

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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.