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Finding the Fourth Proportional to 143,091.54, 197,459.28 and 78,559.20

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Solution

The fourth proportional to 143,091.54, 197,459.28 and 78,559.20 is: 108,407.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,091.54 : 197,459.28 = 78,559.20 : x
  2. Step 2: Convert to fraction form
    143,091.54/197,459.28 = 78,559.20/x
  3. Step 3: Cross multiply
    143,091.54x = 197,459.28 × 78,559.20
  4. Step 4: Simplify right side
    143,091.54x = 15,512,243,069.38
  5. Step 5: Solve for x
    x = 15,512,243,069.38/143,091.54
  6. Step 6: Final answer
    x = 108,407.83

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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.