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Finding the Fourth Proportional to 139,866.20, 193,017.57 and 76,203.98

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Solution

The fourth proportional to 139,866.20, 193,017.57 and 76,203.98 is: 105,162.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,866.20 : 193,017.57 = 76,203.98 : x
  2. Step 2: Convert to fraction form
    139,866.20/193,017.57 = 76,203.98/x
  3. Step 3: Cross multiply
    139,866.20x = 193,017.57 × 76,203.98
  4. Step 4: Simplify right side
    139,866.20x = 14,708,707,043.93
  5. Step 5: Solve for x
    x = 14,708,707,043.93/139,866.20
  6. Step 6: Final answer
    x = 105,162.70

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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.