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Finding the Fourth Proportional to 229,707.36, 317,024.64 and 129,105.36

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Solution

The fourth proportional to 229,707.36, 317,024.64 and 129,105.36 is: 178,181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,707.36 : 317,024.64 = 129,105.36 : x
  2. Step 2: Convert to fraction form
    229,707.36/317,024.64 = 129,105.36/x
  3. Step 3: Cross multiply
    229,707.36x = 317,024.64 × 129,105.36
  4. Step 4: Simplify right side
    229,707.36x = 40,929,580,276.07
  5. Step 5: Solve for x
    x = 40,929,580,276.07/229,707.36
  6. Step 6: Final answer
    x = 178,181.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.