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Finding the Fourth Proportional to 142,851.38, 197,137.11 and 78,326.51

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Solution

The fourth proportional to 142,851.38, 197,137.11 and 78,326.51 is: 108,091.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,851.38 : 197,137.11 = 78,326.51 : x
  2. Step 2: Convert to fraction form
    142,851.38/197,137.11 = 78,326.51/x
  3. Step 3: Cross multiply
    142,851.38x = 197,137.11 × 78,326.51
  4. Step 4: Simplify right side
    142,851.38x = 15,441,060,832.10
  5. Step 5: Solve for x
    x = 15,441,060,832.10/142,851.38
  6. Step 6: Final answer
    x = 108,091.79

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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.