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Finding the Fourth Proportional to 229,698.41, 316,958.43 and 137,812.82

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Solution

The fourth proportional to 229,698.41, 316,958.43 and 137,812.82 is: 190,166.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,698.41 : 316,958.43 = 137,812.82 : x
  2. Step 2: Convert to fraction form
    229,698.41/316,958.43 = 137,812.82/x
  3. Step 3: Cross multiply
    229,698.41x = 316,958.43 × 137,812.82
  4. Step 4: Simplify right side
    229,698.41x = 43,680,932,787.22
  5. Step 5: Solve for x
    x = 43,680,932,787.22/229,698.41
  6. Step 6: Final answer
    x = 190,166.46

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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.