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Finding the Fourth Proportional to 100,683.64, 138,943.94 and 55,364.56

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Solution

The fourth proportional to 100,683.64, 138,943.94 and 55,364.56 is: 76,403.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,683.64 : 138,943.94 = 55,364.56 : x
  2. Step 2: Convert to fraction form
    100,683.64/138,943.94 = 55,364.56/x
  3. Step 3: Cross multiply
    100,683.64x = 138,943.94 × 55,364.56
  4. Step 4: Simplify right side
    100,683.64x = 7,692,570,102.77
  5. Step 5: Solve for x
    x = 7,692,570,102.77/100,683.64
  6. Step 6: Final answer
    x = 76,403.38

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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.