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Finding the Fourth Proportional to 100,684.49, 138,941.79 and 55,362.56

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Solution

The fourth proportional to 100,684.49, 138,941.79 and 55,362.56 is: 76,398.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,684.49 : 138,941.79 = 55,362.56 : x
  2. Step 2: Convert to fraction form
    100,684.49/138,941.79 = 55,362.56/x
  3. Step 3: Cross multiply
    100,684.49x = 138,941.79 × 55,362.56
  4. Step 4: Simplify right side
    100,684.49x = 7,692,173,185.38
  5. Step 5: Solve for x
    x = 7,692,173,185.38/100,684.49
  6. Step 6: Final answer
    x = 76,398.79

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1.5x scale

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.