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Finding the Fourth Proportional to 147,562.48, 203,635.80 and 80,494

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Solution

The fourth proportional to 147,562.48, 203,635.80 and 80,494 is: 111,081.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,562.48 : 203,635.80 = 80,494 : x
  2. Step 2: Convert to fraction form
    147,562.48/203,635.80 = 80,494/x
  3. Step 3: Cross multiply
    147,562.48x = 203,635.80 × 80,494
  4. Step 4: Simplify right side
    147,562.48x = 16,391,460,085.20
  5. Step 5: Solve for x
    x = 16,391,460,085.20/147,562.48
  6. Step 6: Final answer
    x = 111,081.49

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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.