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Finding the Fourth Proportional to 142,182.54, 213,120.72 and 75,555.59

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Solution

The fourth proportional to 142,182.54, 213,120.72 and 75,555.59 is: 113,252.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,182.54 : 213,120.72 = 75,555.59 : x
  2. Step 2: Convert to fraction form
    142,182.54/213,120.72 = 75,555.59/x
  3. Step 3: Cross multiply
    142,182.54x = 213,120.72 × 75,555.59
  4. Step 4: Simplify right side
    142,182.54x = 16,102,460,675.22
  5. Step 5: Solve for x
    x = 16,102,460,675.22/142,182.54
  6. Step 6: Final answer
    x = 113,252.03

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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.