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Finding the Fourth Proportional to 231,969.80, 347,426.58 and 138,281.96

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Solution

The fourth proportional to 231,969.80, 347,426.58 and 138,281.96 is: 207,108.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,969.80 : 347,426.58 = 138,281.96 : x
  2. Step 2: Convert to fraction form
    231,969.80/347,426.58 = 138,281.96/x
  3. Step 3: Cross multiply
    231,969.80x = 347,426.58 × 138,281.96
  4. Step 4: Simplify right side
    231,969.80x = 48,042,828,438.50
  5. Step 5: Solve for x
    x = 48,042,828,438.50/231,969.80
  6. Step 6: Final answer
    x = 207,108.12

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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.