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Finding the Fourth Proportional to 229,878.43, 317,052.22 and 157,324.33

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Solution

The fourth proportional to 229,878.43, 317,052.22 and 157,324.33 is: 216,984.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,878.43 : 317,052.22 = 157,324.33 : x
  2. Step 2: Convert to fraction form
    229,878.43/317,052.22 = 157,324.33/x
  3. Step 3: Cross multiply
    229,878.43x = 317,052.22 × 157,324.33
  4. Step 4: Simplify right side
    229,878.43x = 49,880,028,086.51
  5. Step 5: Solve for x
    x = 49,880,028,086.51/229,878.43
  6. Step 6: Final answer
    x = 216,984.38

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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.