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Finding the Fourth Proportional to 142,756.85, 214,052.28 and 54,017.21

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Solution

The fourth proportional to 142,756.85, 214,052.28 and 54,017.21 is: 80,994.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,756.85 : 214,052.28 = 54,017.21 : x
  2. Step 2: Convert to fraction form
    142,756.85/214,052.28 = 54,017.21/x
  3. Step 3: Cross multiply
    142,756.85x = 214,052.28 × 54,017.21
  4. Step 4: Simplify right side
    142,756.85x = 11,562,507,292.31
  5. Step 5: Solve for x
    x = 11,562,507,292.31/142,756.85
  6. Step 6: Final answer
    x = 80,994.41

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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.