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Finding the Fourth Proportional to 356,847.21, 535,271.22 and 120,170.07

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Solution

The fourth proportional to 356,847.21, 535,271.22 and 120,170.07 is: 180,255.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,847.21 : 535,271.22 = 120,170.07 : x
  2. Step 2: Convert to fraction form
    356,847.21/535,271.22 = 120,170.07/x
  3. Step 3: Cross multiply
    356,847.21x = 535,271.22 × 120,170.07
  4. Step 4: Simplify right side
    356,847.21x = 64,323,579,976.39
  5. Step 5: Solve for x
    x = 64,323,579,976.39/356,847.21
  6. Step 6: Final answer
    x = 180,255.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.