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Finding the Fourth Proportional to 229,934.50, 317,303.11 and 127,958.33

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Solution

The fourth proportional to 229,934.50, 317,303.11 and 127,958.33 is: 176,578.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,934.50 : 317,303.11 = 127,958.33 : x
  2. Step 2: Convert to fraction form
    229,934.50/317,303.11 = 127,958.33/x
  3. Step 3: Cross multiply
    229,934.50x = 317,303.11 × 127,958.33
  4. Step 4: Simplify right side
    229,934.50x = 40,601,576,059.41
  5. Step 5: Solve for x
    x = 40,601,576,059.41/229,934.50
  6. Step 6: Final answer
    x = 176,578.88

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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.