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Finding the Fourth Proportional to 172,965.17, 238,696.17 and 96,483.71

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Solution

The fourth proportional to 172,965.17, 238,696.17 and 96,483.71 is: 133,149.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,965.17 : 238,696.17 = 96,483.71 : x
  2. Step 2: Convert to fraction form
    172,965.17/238,696.17 = 96,483.71/x
  3. Step 3: Cross multiply
    172,965.17x = 238,696.17 × 96,483.71
  4. Step 4: Simplify right side
    172,965.17x = 23,030,290,936.65
  5. Step 5: Solve for x
    x = 23,030,290,936.65/172,965.17
  6. Step 6: Final answer
    x = 133,149.87

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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.