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Finding the Fourth Proportional to 139,574, 192,530.04 and 82,982

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Solution

The fourth proportional to 139,574, 192,530.04 and 82,982 is: 114,466.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,574 : 192,530.04 = 82,982 : x
  2. Step 2: Convert to fraction form
    139,574/192,530.04 = 82,982/x
  3. Step 3: Cross multiply
    139,574x = 192,530.04 × 82,982
  4. Step 4: Simplify right side
    139,574x = 15,976,527,779.28
  5. Step 5: Solve for x
    x = 15,976,527,779.28/139,574
  6. Step 6: Final answer
    x = 114,466.36

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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.