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Finding the Fourth Proportional to 165,813.48, 248,719.21 and 47,484.83

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Solution

The fourth proportional to 165,813.48, 248,719.21 and 47,484.83 is: 71,226.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,813.48 : 248,719.21 = 47,484.83 : x
  2. Step 2: Convert to fraction form
    165,813.48/248,719.21 = 47,484.83/x
  3. Step 3: Cross multiply
    165,813.48x = 248,719.21 × 47,484.83
  4. Step 4: Simplify right side
    165,813.48x = 11,810,389,907.67
  5. Step 5: Solve for x
    x = 11,810,389,907.67/165,813.48
  6. Step 6: Final answer
    x = 71,226.96

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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.