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Finding the Fourth Proportional to 142,164.69, 196,220.91 and 81,770.22

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Solution

The fourth proportional to 142,164.69, 196,220.91 and 81,770.22 is: 112,862.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,164.69 : 196,220.91 = 81,770.22 : x
  2. Step 2: Convert to fraction form
    142,164.69/196,220.91 = 81,770.22/x
  3. Step 3: Cross multiply
    142,164.69x = 196,220.91 × 81,770.22
  4. Step 4: Simplify right side
    142,164.69x = 16,045,026,979.30
  5. Step 5: Solve for x
    x = 16,045,026,979.30/142,164.69
  6. Step 6: Final answer
    x = 112,862.25

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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.