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Finding the Fourth Proportional to 134,933.63, 186,224.81 and 78,345

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Solution

The fourth proportional to 134,933.63, 186,224.81 and 78,345 is: 108,125.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,933.63 : 186,224.81 = 78,345 : x
  2. Step 2: Convert to fraction form
    134,933.63/186,224.81 = 78,345/x
  3. Step 3: Cross multiply
    134,933.63x = 186,224.81 × 78,345
  4. Step 4: Simplify right side
    134,933.63x = 14,589,782,347.73
  5. Step 5: Solve for x
    x = 14,589,782,347.73/134,933.63
  6. Step 6: Final answer
    x = 108,125.62

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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.