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Finding the Fourth Proportional to 103,541.76, 142,535.03 and 76,633.56

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Solution

The fourth proportional to 103,541.76, 142,535.03 and 76,633.56 is: 105,493.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,541.76 : 142,535.03 = 76,633.56 : x
  2. Step 2: Convert to fraction form
    103,541.76/142,535.03 = 76,633.56/x
  3. Step 3: Cross multiply
    103,541.76x = 142,535.03 × 76,633.56
  4. Step 4: Simplify right side
    103,541.76x = 10,922,966,390.44
  5. Step 5: Solve for x
    x = 10,922,966,390.44/103,541.76
  6. Step 6: Final answer
    x = 105,493.34

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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.