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Finding the Fourth Proportional to 241,421.20, 362,131.80 and 101,165.20

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Solution

The fourth proportional to 241,421.20, 362,131.80 and 101,165.20 is: 151,747.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,421.20 : 362,131.80 = 101,165.20 : x
  2. Step 2: Convert to fraction form
    241,421.20/362,131.80 = 101,165.20/x
  3. Step 3: Cross multiply
    241,421.20x = 362,131.80 × 101,165.20
  4. Step 4: Simplify right side
    241,421.20x = 36,635,135,973.36
  5. Step 5: Solve for x
    x = 36,635,135,973.36/241,421.20
  6. Step 6: Final answer
    x = 151,747.80

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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.