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Finding the Fourth Proportional to 147,565.48, 203,639.94 and 80,497

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Solution

The fourth proportional to 147,565.48, 203,639.94 and 80,497 is: 111,085.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,565.48 : 203,639.94 = 80,497 : x
  2. Step 2: Convert to fraction form
    147,565.48/203,639.94 = 80,497/x
  3. Step 3: Cross multiply
    147,565.48x = 203,639.94 × 80,497
  4. Step 4: Simplify right side
    147,565.48x = 16,392,404,250.18
  5. Step 5: Solve for x
    x = 16,392,404,250.18/147,565.48
  6. Step 6: Final answer
    x = 111,085.63

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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.