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Finding the Fourth Proportional to 139,894.22, 193,053.42 and 76,232.03

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Solution

The fourth proportional to 139,894.22, 193,053.42 and 76,232.03 is: 105,199.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,894.22 : 193,053.42 = 76,232.03 : x
  2. Step 2: Convert to fraction form
    139,894.22/193,053.42 = 76,232.03/x
  3. Step 3: Cross multiply
    139,894.22x = 193,053.42 × 76,232.03
  4. Step 4: Simplify right side
    139,894.22x = 14,716,853,139.78
  5. Step 5: Solve for x
    x = 14,716,853,139.78/139,894.22
  6. Step 6: Final answer
    x = 105,199.86

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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.