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Finding the Fourth Proportional to 230,448.29, 317,992.95 and 128,466.05

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Solution

The fourth proportional to 230,448.29, 317,992.95 and 128,466.05 is: 177,268.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,448.29 : 317,992.95 = 128,466.05 : x
  2. Step 2: Convert to fraction form
    230,448.29/317,992.95 = 128,466.05/x
  3. Step 3: Cross multiply
    230,448.29x = 317,992.95 × 128,466.05
  4. Step 4: Simplify right side
    230,448.29x = 40,851,296,624.38
  5. Step 5: Solve for x
    x = 40,851,296,624.38/230,448.29
  6. Step 6: Final answer
    x = 177,268.82

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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.