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Finding the Fourth Proportional to 229,846, 344,885.64 and 105,218.32

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Solution

The fourth proportional to 229,846, 344,885.64 and 105,218.32 is: 157,880.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,846 : 344,885.64 = 105,218.32 : x
  2. Step 2: Convert to fraction form
    229,846/344,885.64 = 105,218.32/x
  3. Step 3: Cross multiply
    229,846x = 344,885.64 × 105,218.32
  4. Step 4: Simplify right side
    229,846x = 36,288,287,632.92
  5. Step 5: Solve for x
    x = 36,288,287,632.92/229,846
  6. Step 6: Final answer
    x = 157,880.88

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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.