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Finding the Fourth Proportional to 100,342.13, 138,473.75 and 55,024.25

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Solution

The fourth proportional to 100,342.13, 138,473.75 and 55,024.25 is: 75,934.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,342.13 : 138,473.75 = 55,024.25 : x
  2. Step 2: Convert to fraction form
    100,342.13/138,473.75 = 55,024.25/x
  3. Step 3: Cross multiply
    100,342.13x = 138,473.75 × 55,024.25
  4. Step 4: Simplify right side
    100,342.13x = 7,619,414,238.44
  5. Step 5: Solve for x
    x = 7,619,414,238.44/100,342.13
  6. Step 6: Final answer
    x = 75,934.35

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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.