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Finding the Fourth Proportional to 147,172.52, 203,102.86 and 83,513

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Solution

The fourth proportional to 147,172.52, 203,102.86 and 83,513 is: 115,250.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,172.52 : 203,102.86 = 83,513 : x
  2. Step 2: Convert to fraction form
    147,172.52/203,102.86 = 83,513/x
  3. Step 3: Cross multiply
    147,172.52x = 203,102.86 × 83,513
  4. Step 4: Simplify right side
    147,172.52x = 16,961,729,147.18
  5. Step 5: Solve for x
    x = 16,961,729,147.18/147,172.52
  6. Step 6: Final answer
    x = 115,250.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.