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Finding the Fourth Proportional to 241,584.40, 362,007.12 and 101,266.48

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Solution

The fourth proportional to 241,584.40, 362,007.12 and 101,266.48 is: 151,744.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,584.40 : 362,007.12 = 101,266.48 : x
  2. Step 2: Convert to fraction form
    241,584.40/362,007.12 = 101,266.48/x
  3. Step 3: Cross multiply
    241,584.40x = 362,007.12 × 101,266.48
  4. Step 4: Simplify right side
    241,584.40x = 36,659,186,777.34
  5. Step 5: Solve for x
    x = 36,659,186,777.34/241,584.40
  6. Step 6: Final answer
    x = 151,744.84

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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.