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Finding the Fourth Proportional to 188,094.60, 282,146.22 and 47,854.44

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Solution

The fourth proportional to 188,094.60, 282,146.22 and 47,854.44 is: 71,782.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,094.60 : 282,146.22 = 47,854.44 : x
  2. Step 2: Convert to fraction form
    188,094.60/282,146.22 = 47,854.44/x
  3. Step 3: Cross multiply
    188,094.60x = 282,146.22 × 47,854.44
  4. Step 4: Simplify right side
    188,094.60x = 13,501,949,356.22
  5. Step 5: Solve for x
    x = 13,501,949,356.22/188,094.60
  6. Step 6: Final answer
    x = 71,782.76

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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.