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Finding the Fourth Proportional to 144,046.46, 215,922 and 55,276.14

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Solution

The fourth proportional to 144,046.46, 215,922 and 55,276.14 is: 82,857.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,046.46 : 215,922 = 55,276.14 : x
  2. Step 2: Convert to fraction form
    144,046.46/215,922 = 55,276.14/x
  3. Step 3: Cross multiply
    144,046.46x = 215,922 × 55,276.14
  4. Step 4: Simplify right side
    144,046.46x = 11,935,334,701.08
  5. Step 5: Solve for x
    x = 11,935,334,701.08/144,046.46
  6. Step 6: Final answer
    x = 82,857.54

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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.