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Finding the Fourth Proportional to 154,203, 231,308.58 and 49,021.92

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Solution

The fourth proportional to 154,203, 231,308.58 and 49,021.92 is: 73,534.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,203 : 231,308.58 = 49,021.92 : x
  2. Step 2: Convert to fraction form
    154,203/231,308.58 = 49,021.92/x
  3. Step 3: Cross multiply
    154,203x = 231,308.58 × 49,021.92
  4. Step 4: Simplify right side
    154,203x = 11,339,190,704.07
  5. Step 5: Solve for x
    x = 11,339,190,704.07/154,203
  6. Step 6: Final answer
    x = 73,534.18

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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.