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Finding the Fourth Proportional to 100,092.40, 138,113.89 and 59,797.63

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Solution

The fourth proportional to 100,092.40, 138,113.89 and 59,797.63 is: 82,512.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,092.40 : 138,113.89 = 59,797.63 : x
  2. Step 2: Convert to fraction form
    100,092.40/138,113.89 = 59,797.63/x
  3. Step 3: Cross multiply
    100,092.40x = 138,113.89 × 59,797.63
  4. Step 4: Simplify right side
    100,092.40x = 8,258,883,292.08
  5. Step 5: Solve for x
    x = 8,258,883,292.08/100,092.40
  6. Step 6: Final answer
    x = 82,512.59

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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.