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Finding the Fourth Proportional to 101,523.05, 140,099.76 and 56,201

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Solution

The fourth proportional to 101,523.05, 140,099.76 and 56,201 is: 77,556.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,523.05 : 140,099.76 = 56,201 : x
  2. Step 2: Convert to fraction form
    101,523.05/140,099.76 = 56,201/x
  3. Step 3: Cross multiply
    101,523.05x = 140,099.76 × 56,201
  4. Step 4: Simplify right side
    101,523.05x = 7,873,746,611.76
  5. Step 5: Solve for x
    x = 7,873,746,611.76/101,523.05
  6. Step 6: Final answer
    x = 77,556.25

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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.