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Finding the Fourth Proportional to 230,232.94, 317,731.08 and 128,258.38

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Solution

The fourth proportional to 230,232.94, 317,731.08 and 128,258.38 is: 177,001.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,232.94 : 317,731.08 = 128,258.38 : x
  2. Step 2: Convert to fraction form
    230,232.94/317,731.08 = 128,258.38/x
  3. Step 3: Cross multiply
    230,232.94x = 317,731.08 × 128,258.38
  4. Step 4: Simplify right side
    230,232.94x = 40,751,673,596.45
  5. Step 5: Solve for x
    x = 40,751,673,596.45/230,232.94
  6. Step 6: Final answer
    x = 177,001.93

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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.