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Finding the Fourth Proportional to 147,170.52, 203,100.10 and 83,511

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Solution

The fourth proportional to 147,170.52, 203,100.10 and 83,511 is: 115,247.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,170.52 : 203,100.10 = 83,511 : x
  2. Step 2: Convert to fraction form
    147,170.52/203,100.10 = 83,511/x
  3. Step 3: Cross multiply
    147,170.52x = 203,100.10 × 83,511
  4. Step 4: Simplify right side
    147,170.52x = 16,961,092,451.10
  5. Step 5: Solve for x
    x = 16,961,092,451.10/147,170.52
  6. Step 6: Final answer
    x = 115,247.89

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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.