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Finding the Fourth Proportional to 112,734.56, 169,103.28 and 53,576

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Solution

The fourth proportional to 112,734.56, 169,103.28 and 53,576 is: 80,364.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,734.56 : 169,103.28 = 53,576 : x
  2. Step 2: Convert to fraction form
    112,734.56/169,103.28 = 53,576/x
  3. Step 3: Cross multiply
    112,734.56x = 169,103.28 × 53,576
  4. Step 4: Simplify right side
    112,734.56x = 9,059,877,329.28
  5. Step 5: Solve for x
    x = 9,059,877,329.28/112,734.56
  6. Step 6: Final answer
    x = 80,364.68

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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.