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Finding the Fourth Proportional to 165,649.86, 248,483.16 and 47,338.83

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Solution

The fourth proportional to 165,649.86, 248,483.16 and 47,338.83 is: 71,010.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,649.86 : 248,483.16 = 47,338.83 : x
  2. Step 2: Convert to fraction form
    165,649.86/248,483.16 = 47,338.83/x
  3. Step 3: Cross multiply
    165,649.86x = 248,483.16 × 47,338.83
  4. Step 4: Simplify right side
    165,649.86x = 11,762,902,069.10
  5. Step 5: Solve for x
    x = 11,762,902,069.10/165,649.86
  6. Step 6: Final answer
    x = 71,010.64

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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.