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Finding the Fourth Proportional to 102,728.33, 141,762.36 and 57,406.68

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Solution

The fourth proportional to 102,728.33, 141,762.36 and 57,406.68 is: 79,219.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,728.33 : 141,762.36 = 57,406.68 : x
  2. Step 2: Convert to fraction form
    102,728.33/141,762.36 = 57,406.68/x
  3. Step 3: Cross multiply
    102,728.33x = 141,762.36 × 57,406.68
  4. Step 4: Simplify right side
    102,728.33x = 8,138,106,436.56
  5. Step 5: Solve for x
    x = 8,138,106,436.56/102,728.33
  6. Step 6: Final answer
    x = 79,219.69

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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.