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Finding the Fourth Proportional to 363,846.26, 545,731.23 and 97,634.06

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Solution

The fourth proportional to 363,846.26, 545,731.23 and 97,634.06 is: 146,440.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,846.26 : 545,731.23 = 97,634.06 : x
  2. Step 2: Convert to fraction form
    363,846.26/545,731.23 = 97,634.06/x
  3. Step 3: Cross multiply
    363,846.26x = 545,731.23 × 97,634.06
  4. Step 4: Simplify right side
    363,846.26x = 53,281,955,653.69
  5. Step 5: Solve for x
    x = 53,281,955,653.69/363,846.26
  6. Step 6: Final answer
    x = 146,440.85

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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.