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Finding the Fourth Proportional to 101,582, 140,150.74 and 65,799.44

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Solution

The fourth proportional to 101,582, 140,150.74 and 65,799.44 is: 90,782.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,582 : 140,150.74 = 65,799.44 : x
  2. Step 2: Convert to fraction form
    101,582/140,150.74 = 65,799.44/x
  3. Step 3: Cross multiply
    101,582x = 140,150.74 × 65,799.44
  4. Step 4: Simplify right side
    101,582x = 9,221,840,207.59
  5. Step 5: Solve for x
    x = 9,221,840,207.59/101,582
  6. Step 6: Final answer
    x = 90,782.23

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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.