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Finding the Fourth Proportional to 142,181.49, 213,108.21 and 53,378.36

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Solution

The fourth proportional to 142,181.49, 213,108.21 and 53,378.36 is: 80,005.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,181.49 : 213,108.21 = 53,378.36 : x
  2. Step 2: Convert to fraction form
    142,181.49/213,108.21 = 53,378.36/x
  3. Step 3: Cross multiply
    142,181.49x = 213,108.21 × 53,378.36
  4. Step 4: Simplify right side
    142,181.49x = 11,375,365,686.79
  5. Step 5: Solve for x
    x = 11,375,365,686.79/142,181.49
  6. Step 6: Final answer
    x = 80,005.95

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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.