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Finding the Fourth Proportional to 147,765.34, 203,889.08 and 83,220.75

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Solution

The fourth proportional to 147,765.34, 203,889.08 and 83,220.75 is: 114,829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,765.34 : 203,889.08 = 83,220.75 : x
  2. Step 2: Convert to fraction form
    147,765.34/203,889.08 = 83,220.75/x
  3. Step 3: Cross multiply
    147,765.34x = 203,889.08 × 83,220.75
  4. Step 4: Simplify right side
    147,765.34x = 16,967,802,754.14
  5. Step 5: Solve for x
    x = 16,967,802,754.14/147,765.34
  6. Step 6: Final answer
    x = 114,829.38

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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.