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Finding the Fourth Proportional to 115,842.40, 174,134.80 and 107,624.80

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Solution

The fourth proportional to 115,842.40, 174,134.80 and 107,624.80 is: 161,782.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,842.40 : 174,134.80 = 107,624.80 : x
  2. Step 2: Convert to fraction form
    115,842.40/174,134.80 = 107,624.80/x
  3. Step 3: Cross multiply
    115,842.40x = 174,134.80 × 107,624.80
  4. Step 4: Simplify right side
    115,842.40x = 18,741,223,023.04
  5. Step 5: Solve for x
    x = 18,741,223,023.04/115,842.40
  6. Step 6: Final answer
    x = 161,782.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.