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Finding the Fourth Proportional to 172,893.50, 238,597.25 and 96,411.85

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Solution

The fourth proportional to 172,893.50, 238,597.25 and 96,411.85 is: 133,050.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,893.50 : 238,597.25 = 96,411.85 : x
  2. Step 2: Convert to fraction form
    172,893.50/238,597.25 = 96,411.85/x
  3. Step 3: Cross multiply
    172,893.50x = 238,597.25 × 96,411.85
  4. Step 4: Simplify right side
    172,893.50x = 23,003,602,277.41
  5. Step 5: Solve for x
    x = 23,003,602,277.41/172,893.50
  6. Step 6: Final answer
    x = 133,050.71

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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.