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Finding the Fourth Proportional to 100,211.97, 138,294.51 and 54,889.95

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Solution

The fourth proportional to 100,211.97, 138,294.51 and 54,889.95 is: 75,749.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,211.97 : 138,294.51 = 54,889.95 : x
  2. Step 2: Convert to fraction form
    100,211.97/138,294.51 = 54,889.95/x
  3. Step 3: Cross multiply
    100,211.97x = 138,294.51 × 54,889.95
  4. Step 4: Simplify right side
    100,211.97x = 7,590,979,051.94
  5. Step 5: Solve for x
    x = 7,590,979,051.94/100,211.97
  6. Step 6: Final answer
    x = 75,749.23

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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.