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Finding the Fourth Proportional to 210,078.38, 290,050.13 and 161,594.21

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Solution

The fourth proportional to 210,078.38, 290,050.13 and 161,594.21 is: 223,109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,078.38 : 290,050.13 = 161,594.21 : x
  2. Step 2: Convert to fraction form
    210,078.38/290,050.13 = 161,594.21/x
  3. Step 3: Cross multiply
    210,078.38x = 290,050.13 × 161,594.21
  4. Step 4: Simplify right side
    210,078.38x = 46,870,420,809.78
  5. Step 5: Solve for x
    x = 46,870,420,809.78/210,078.38
  6. Step 6: Final answer
    x = 223,109.21

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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.