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Finding the Fourth Proportional to 147,385.70, 203,546.67 and 101,564.48

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Solution

The fourth proportional to 147,385.70, 203,546.67 and 101,564.48 is: 140,265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,385.70 : 203,546.67 = 101,564.48 : x
  2. Step 2: Convert to fraction form
    147,385.70/203,546.67 = 101,564.48/x
  3. Step 3: Cross multiply
    147,385.70x = 203,546.67 × 101,564.48
  4. Step 4: Simplify right side
    147,385.70x = 20,673,111,822.28
  5. Step 5: Solve for x
    x = 20,673,111,822.28/147,385.70
  6. Step 6: Final answer
    x = 140,265.39

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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.