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Finding the Fourth Proportional to 142,543.10, 196,696.12 and 85,171

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Solution

The fourth proportional to 142,543.10, 196,696.12 and 85,171 is: 117,528.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,543.10 : 196,696.12 = 85,171 : x
  2. Step 2: Convert to fraction form
    142,543.10/196,696.12 = 85,171/x
  3. Step 3: Cross multiply
    142,543.10x = 196,696.12 × 85,171
  4. Step 4: Simplify right side
    142,543.10x = 16,752,805,236.52
  5. Step 5: Solve for x
    x = 16,752,805,236.52/142,543.10
  6. Step 6: Final answer
    x = 117,528.00

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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.