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Finding the Fourth Proportional to 230,208.30, 317,645.34 and 128,231.16

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Solution

The fourth proportional to 230,208.30, 317,645.34 and 128,231.16 is: 176,935.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,208.30 : 317,645.34 = 128,231.16 : x
  2. Step 2: Convert to fraction form
    230,208.30/317,645.34 = 128,231.16/x
  3. Step 3: Cross multiply
    230,208.30x = 317,645.34 × 128,231.16
  4. Step 4: Simplify right side
    230,208.30x = 40,732,030,416.79
  5. Step 5: Solve for x
    x = 40,732,030,416.79/230,208.30
  6. Step 6: Final answer
    x = 176,935.54

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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.