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Finding the Fourth Proportional to 142,228.30, 213,350.64 and 53,482.57

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Solution

The fourth proportional to 142,228.30, 213,350.64 and 53,482.57 is: 80,226.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,228.30 : 213,350.64 = 53,482.57 : x
  2. Step 2: Convert to fraction form
    142,228.30/213,350.64 = 53,482.57/x
  3. Step 3: Cross multiply
    142,228.30x = 213,350.64 × 53,482.57
  4. Step 4: Simplify right side
    142,228.30x = 11,410,540,538.34
  5. Step 5: Solve for x
    x = 11,410,540,538.34/142,228.30
  6. Step 6: Final answer
    x = 80,226.93

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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.