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Finding the Fourth Proportional to 135,313.72, 186,687.42 and 78,678.52

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Solution

The fourth proportional to 135,313.72, 186,687.42 and 78,678.52 is: 108,549.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,313.72 : 186,687.42 = 78,678.52 : x
  2. Step 2: Convert to fraction form
    135,313.72/186,687.42 = 78,678.52/x
  3. Step 3: Cross multiply
    135,313.72x = 186,687.42 × 78,678.52
  4. Step 4: Simplify right side
    135,313.72x = 14,688,289,908.22
  5. Step 5: Solve for x
    x = 14,688,289,908.22/135,313.72
  6. Step 6: Final answer
    x = 108,549.89

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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.