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Finding the Fourth Proportional to 139,897.92, 193,059.04 and 76,235.68

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Solution

The fourth proportional to 139,897.92, 193,059.04 and 76,235.68 is: 105,205.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,897.92 : 193,059.04 = 76,235.68 : x
  2. Step 2: Convert to fraction form
    139,897.92/193,059.04 = 76,235.68/x
  3. Step 3: Cross multiply
    139,897.92x = 193,059.04 × 76,235.68
  4. Step 4: Simplify right side
    139,897.92x = 14,717,987,194.55
  5. Step 5: Solve for x
    x = 14,717,987,194.55/139,897.92
  6. Step 6: Final answer
    x = 105,205.19

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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.