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Finding the Fourth Proportional to 229,866.36, 317,188.02 and 127,866.06

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Solution

The fourth proportional to 229,866.36, 317,188.02 and 127,866.06 is: 176,439.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,866.36 : 317,188.02 = 127,866.06 : x
  2. Step 2: Convert to fraction form
    229,866.36/317,188.02 = 127,866.06/x
  3. Step 3: Cross multiply
    229,866.36x = 317,188.02 × 127,866.06
  4. Step 4: Simplify right side
    229,866.36x = 40,557,582,396.60
  5. Step 5: Solve for x
    x = 40,557,582,396.60/229,866.36
  6. Step 6: Final answer
    x = 176,439.83

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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.