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Finding the Fourth Proportional to 230,033.38, 317,438.64 and 128,055.52

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Solution

The fourth proportional to 230,033.38, 317,438.64 and 128,055.52 is: 176,712.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,033.38 : 317,438.64 = 128,055.52 : x
  2. Step 2: Convert to fraction form
    230,033.38/317,438.64 = 128,055.52/x
  3. Step 3: Cross multiply
    230,033.38x = 317,438.64 × 128,055.52
  4. Step 4: Simplify right side
    230,033.38x = 40,649,770,113.29
  5. Step 5: Solve for x
    x = 40,649,770,113.29/230,033.38
  6. Step 6: Final answer
    x = 176,712.48

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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.