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Finding the Fourth Proportional to 231,909.40, 347,864.10 and 185,253.40

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Solution

The fourth proportional to 231,909.40, 347,864.10 and 185,253.40 is: 277,880.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,909.40 : 347,864.10 = 185,253.40 : x
  2. Step 2: Convert to fraction form
    231,909.40/347,864.10 = 185,253.40/x
  3. Step 3: Cross multiply
    231,909.40x = 347,864.10 × 185,253.40
  4. Step 4: Simplify right side
    231,909.40x = 64,443,007,262.94
  5. Step 5: Solve for x
    x = 64,443,007,262.94/231,909.40
  6. Step 6: Final answer
    x = 277,880.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.