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Finding the Fourth Proportional to 147,563.53, 203,619.17 and 83,024.82

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Solution

The fourth proportional to 147,563.53, 203,619.17 and 83,024.82 is: 114,563.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,563.53 : 203,619.17 = 83,024.82 : x
  2. Step 2: Convert to fraction form
    147,563.53/203,619.17 = 83,024.82/x
  3. Step 3: Cross multiply
    147,563.53x = 203,619.17 × 83,024.82
  4. Step 4: Simplify right side
    147,563.53x = 16,905,445,145.36
  5. Step 5: Solve for x
    x = 16,905,445,145.36/147,563.53
  6. Step 6: Final answer
    x = 114,563.85

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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.