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Finding the Fourth Proportional to 229,915.12, 317,279.81 and 129,313.12

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Solution

The fourth proportional to 229,915.12, 317,279.81 and 129,313.12 is: 178,450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,915.12 : 317,279.81 = 129,313.12 : x
  2. Step 2: Convert to fraction form
    229,915.12/317,279.81 = 129,313.12/x
  3. Step 3: Cross multiply
    229,915.12x = 317,279.81 × 129,313.12
  4. Step 4: Simplify right side
    229,915.12x = 41,028,442,144.11
  5. Step 5: Solve for x
    x = 41,028,442,144.11/229,915.12
  6. Step 6: Final answer
    x = 178,450.39

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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.