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Finding the Fourth Proportional to 117,205.63, 175,808.44 and 28,458.54

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Solution

The fourth proportional to 117,205.63, 175,808.44 and 28,458.54 is: 42,687.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,205.63 : 175,808.44 = 28,458.54 : x
  2. Step 2: Convert to fraction form
    117,205.63/175,808.44 = 28,458.54/x
  3. Step 3: Cross multiply
    117,205.63x = 175,808.44 × 28,458.54
  4. Step 4: Simplify right side
    117,205.63x = 5,003,250,969.52
  5. Step 5: Solve for x
    x = 5,003,250,969.52/117,205.63
  6. Step 6: Final answer
    x = 42,687.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.