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Finding the Fourth Proportional to 142,165.40, 213,116.27 and 53,477.69

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Solution

The fourth proportional to 142,165.40, 213,116.27 and 53,477.69 is: 80,166.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,165.40 : 213,116.27 = 53,477.69 : x
  2. Step 2: Convert to fraction form
    142,165.40/213,116.27 = 53,477.69/x
  3. Step 3: Cross multiply
    142,165.40x = 213,116.27 × 53,477.69
  4. Step 4: Simplify right side
    142,165.40x = 11,396,964,488.05
  5. Step 5: Solve for x
    x = 11,396,964,488.05/142,165.40
  6. Step 6: Final answer
    x = 80,166.94

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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.