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Finding the Fourth Proportional to 139,866, 193,015.08 and 76,203.78

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Solution

The fourth proportional to 139,866, 193,015.08 and 76,203.78 is: 105,161.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,866 : 193,015.08 = 76,203.78 : x
  2. Step 2: Convert to fraction form
    139,866/193,015.08 = 76,203.78/x
  3. Step 3: Cross multiply
    139,866x = 193,015.08 × 76,203.78
  4. Step 4: Simplify right side
    139,866x = 14,708,478,693.00
  5. Step 5: Solve for x
    x = 14,708,478,693.00/139,866
  6. Step 6: Final answer
    x = 105,161.22

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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.