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Finding the Fourth Proportional to 209,694.39, 289,390.37 and 157,918.79

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Solution

The fourth proportional to 209,694.39, 289,390.37 and 157,918.79 is: 217,937.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,694.39 : 289,390.37 = 157,918.79 : x
  2. Step 2: Convert to fraction form
    209,694.39/289,390.37 = 157,918.79/x
  3. Step 3: Cross multiply
    209,694.39x = 289,390.37 × 157,918.79
  4. Step 4: Simplify right side
    209,694.39x = 45,700,174,831.51
  5. Step 5: Solve for x
    x = 45,700,174,831.51/209,694.39
  6. Step 6: Final answer
    x = 217,937.04

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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.