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Finding the Fourth Proportional to 142,185.40, 213,114.05 and 53,382.26

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Solution

The fourth proportional to 142,185.40, 213,114.05 and 53,382.26 is: 80,011.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,185.40 : 213,114.05 = 53,382.26 : x
  2. Step 2: Convert to fraction form
    142,185.40/213,114.05 = 53,382.26/x
  3. Step 3: Cross multiply
    142,185.40x = 213,114.05 × 53,382.26
  4. Step 4: Simplify right side
    142,185.40x = 11,376,509,626.75
  5. Step 5: Solve for x
    x = 11,376,509,626.75/142,185.40
  6. Step 6: Final answer
    x = 80,011.80

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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.