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Finding the Fourth Proportional to 139,859.49, 193,006.11 and 76,197.28

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Solution

The fourth proportional to 139,859.49, 193,006.11 and 76,197.28 is: 105,152.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,859.49 : 193,006.11 = 76,197.28 : x
  2. Step 2: Convert to fraction form
    139,859.49/193,006.11 = 76,197.28/x
  3. Step 3: Cross multiply
    139,859.49x = 193,006.11 × 76,197.28
  4. Step 4: Simplify right side
    139,859.49x = 14,706,541,045.44
  5. Step 5: Solve for x
    x = 14,706,541,045.44/139,859.49
  6. Step 6: Final answer
    x = 105,152.26

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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.