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Finding the Fourth Proportional to 121,782.67, 168,048.21 and 76,446.16

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Solution

The fourth proportional to 121,782.67, 168,048.21 and 76,446.16 is: 105,488.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,782.67 : 168,048.21 = 76,446.16 : x
  2. Step 2: Convert to fraction form
    121,782.67/168,048.21 = 76,446.16/x
  3. Step 3: Cross multiply
    121,782.67x = 168,048.21 × 76,446.16
  4. Step 4: Simplify right side
    121,782.67x = 12,846,640,349.37
  5. Step 5: Solve for x
    x = 12,846,640,349.37/121,782.67
  6. Step 6: Final answer
    x = 105,488.25

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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.