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Finding the Fourth Proportional to 235,098.42, 324,455.92 and 133,141.90

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Solution

The fourth proportional to 235,098.42, 324,455.92 and 133,141.90 is: 183,747.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,098.42 : 324,455.92 = 133,141.90 : x
  2. Step 2: Convert to fraction form
    235,098.42/324,455.92 = 133,141.90/x
  3. Step 3: Cross multiply
    235,098.42x = 324,455.92 × 133,141.90
  4. Step 4: Simplify right side
    235,098.42x = 43,198,677,655.05
  5. Step 5: Solve for x
    x = 43,198,677,655.05/235,098.42
  6. Step 6: Final answer
    x = 183,747.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.