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Finding the Fourth Proportional to 214,263.28, 320,976.60 and 101,783.44

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Solution

The fourth proportional to 214,263.28, 320,976.60 and 101,783.44 is: 152,476.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,263.28 : 320,976.60 = 101,783.44 : x
  2. Step 2: Convert to fraction form
    214,263.28/320,976.60 = 101,783.44/x
  3. Step 3: Cross multiply
    214,263.28x = 320,976.60 × 101,783.44
  4. Step 4: Simplify right side
    214,263.28x = 32,670,102,507.50
  5. Step 5: Solve for x
    x = 32,670,102,507.50/214,263.28
  6. Step 6: Final answer
    x = 152,476.44

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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.