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Finding the Fourth Proportional to 139,971.60, 193,162.08 and 76,310.64

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Solution

The fourth proportional to 139,971.60, 193,162.08 and 76,310.64 is: 105,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,971.60 : 193,162.08 = 76,310.64 : x
  2. Step 2: Convert to fraction form
    139,971.60/193,162.08 = 76,310.64/x
  3. Step 3: Cross multiply
    139,971.60x = 193,162.08 × 76,310.64
  4. Step 4: Simplify right side
    139,971.60x = 14,740,321,948.53
  5. Step 5: Solve for x
    x = 14,740,321,948.53/139,971.60
  6. Step 6: Final answer
    x = 105,309.38

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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.