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Finding the Fourth Proportional to 142,326.36, 196,420.57 and 84,968.03

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Solution

The fourth proportional to 142,326.36, 196,420.57 and 84,968.03 is: 117,261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,326.36 : 196,420.57 = 84,968.03 : x
  2. Step 2: Convert to fraction form
    142,326.36/196,420.57 = 84,968.03/x
  3. Step 3: Cross multiply
    142,326.36x = 196,420.57 × 84,968.03
  4. Step 4: Simplify right side
    142,326.36x = 16,689,468,884.38
  5. Step 5: Solve for x
    x = 16,689,468,884.38/142,326.36
  6. Step 6: Final answer
    x = 117,261.97

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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.