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Finding the Fourth Proportional to 142,682.40, 213,973.20 and 49,166.40

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Solution

The fourth proportional to 142,682.40, 213,973.20 and 49,166.40 is: 73,732.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,682.40 : 213,973.20 = 49,166.40 : x
  2. Step 2: Convert to fraction form
    142,682.40/213,973.20 = 49,166.40/x
  3. Step 3: Cross multiply
    142,682.40x = 213,973.20 × 49,166.40
  4. Step 4: Simplify right side
    142,682.40x = 10,520,291,940.48
  5. Step 5: Solve for x
    x = 10,520,291,940.48/142,682.40
  6. Step 6: Final answer
    x = 73,732.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.