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Finding the Fourth Proportional to 142,662.52, 213,810.66 and 53,810.20

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Solution

The fourth proportional to 142,662.52, 213,810.66 and 53,810.20 is: 80,646.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,662.52 : 213,810.66 = 53,810.20 : x
  2. Step 2: Convert to fraction form
    142,662.52/213,810.66 = 53,810.20/x
  3. Step 3: Cross multiply
    142,662.52x = 213,810.66 × 53,810.20
  4. Step 4: Simplify right side
    142,662.52x = 11,505,194,376.73
  5. Step 5: Solve for x
    x = 11,505,194,376.73/142,662.52
  6. Step 6: Final answer
    x = 80,646.23

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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.