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Finding the Fourth Proportional to 142,538.10, 196,689.22 and 85,166.00

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Solution

The fourth proportional to 142,538.10, 196,689.22 and 85,166.00 is: 117,521.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,538.10 : 196,689.22 = 85,166.00 : x
  2. Step 2: Convert to fraction form
    142,538.10/196,689.22 = 85,166.00/x
  3. Step 3: Cross multiply
    142,538.10x = 196,689.22 × 85,166.00
  4. Step 4: Simplify right side
    142,538.10x = 16,751,233,127.07
  5. Step 5: Solve for x
    x = 16,751,233,127.07/142,538.10
  6. Step 6: Final answer
    x = 117,521.10

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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.