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Finding the Fourth Proportional to 82,969.20, 112,095.90 and 82,969.20

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Solution

The fourth proportional to 82,969.20, 112,095.90 and 82,969.20 is: 112,095.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,969.20 : 112,095.90 = 82,969.20 : x
  2. Step 2: Convert to fraction form
    82,969.20/112,095.90 = 82,969.20/x
  3. Step 3: Cross multiply
    82,969.20x = 112,095.90 × 82,969.20
  4. Step 4: Simplify right side
    82,969.20x = 9,300,507,146.28
  5. Step 5: Solve for x
    x = 9,300,507,146.28/82,969.20
  6. Step 6: Final answer
    x = 112,095.90

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.