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Finding the Fourth Proportional to 229,968.34, 317,356.23 and 129,366.34

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Solution

The fourth proportional to 229,968.34, 317,356.23 and 129,366.34 is: 178,525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,968.34 : 317,356.23 = 129,366.34 : x
  2. Step 2: Convert to fraction form
    229,968.34/317,356.23 = 129,366.34/x
  3. Step 3: Cross multiply
    229,968.34x = 317,356.23 × 129,366.34
  4. Step 4: Simplify right side
    229,968.34x = 41,055,213,951.30
  5. Step 5: Solve for x
    x = 41,055,213,951.30/229,968.34
  6. Step 6: Final answer
    x = 178,525.50

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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.