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Finding the Fourth Proportional to 110,978.24, 166,483.94 and 40,852.22

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Solution

The fourth proportional to 110,978.24, 166,483.94 and 40,852.22 is: 61,284.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,978.24 : 166,483.94 = 40,852.22 : x
  2. Step 2: Convert to fraction form
    110,978.24/166,483.94 = 40,852.22/x
  3. Step 3: Cross multiply
    110,978.24x = 166,483.94 × 40,852.22
  4. Step 4: Simplify right side
    110,978.24x = 6,801,238,543.35
  5. Step 5: Solve for x
    x = 6,801,238,543.35/110,978.24
  6. Step 6: Final answer
    x = 61,284.43

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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.