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Finding the Fourth Proportional to 100,093.21, 138,124.51 and 59,829.18

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Solution

The fourth proportional to 100,093.21, 138,124.51 and 59,829.18 is: 82,561.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,093.21 : 138,124.51 = 59,829.18 : x
  2. Step 2: Convert to fraction form
    100,093.21/138,124.51 = 59,829.18/x
  3. Step 3: Cross multiply
    100,093.21x = 138,124.51 × 59,829.18
  4. Step 4: Simplify right side
    100,093.21x = 8,263,876,171.20
  5. Step 5: Solve for x
    x = 8,263,876,171.20/100,093.21
  6. Step 6: Final answer
    x = 82,561.81

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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.