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Finding the Fourth Proportional to 213,073.92, 293,944.32 and 123,632.64

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Solution

The fourth proportional to 213,073.92, 293,944.32 and 123,632.64 is: 170,556.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,073.92 : 293,944.32 = 123,632.64 : x
  2. Step 2: Convert to fraction form
    213,073.92/293,944.32 = 123,632.64/x
  3. Step 3: Cross multiply
    213,073.92x = 293,944.32 × 123,632.64
  4. Step 4: Simplify right side
    213,073.92x = 36,341,112,294.60
  5. Step 5: Solve for x
    x = 36,341,112,294.60/213,073.92
  6. Step 6: Final answer
    x = 170,556.36

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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.