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Finding the Fourth Proportional to 121,749.64, 168,121.38 and 76,506.04

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Solution

The fourth proportional to 121,749.64, 168,121.38 and 76,506.04 is: 105,645.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,749.64 : 168,121.38 = 76,506.04 : x
  2. Step 2: Convert to fraction form
    121,749.64/168,121.38 = 76,506.04/x
  3. Step 3: Cross multiply
    121,749.64x = 168,121.38 × 76,506.04
  4. Step 4: Simplify right side
    121,749.64x = 12,862,301,023.14
  5. Step 5: Solve for x
    x = 12,862,301,023.14/121,749.64
  6. Step 6: Final answer
    x = 105,645.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.