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Finding the Fourth Proportional to 229,665.09, 344,475.34 and 69,742.40

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Solution

The fourth proportional to 229,665.09, 344,475.34 and 69,742.40 is: 104,606.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,665.09 : 344,475.34 = 69,742.40 : x
  2. Step 2: Convert to fraction form
    229,665.09/344,475.34 = 69,742.40/x
  3. Step 3: Cross multiply
    229,665.09x = 344,475.34 × 69,742.40
  4. Step 4: Simplify right side
    229,665.09x = 24,024,536,952.42
  5. Step 5: Solve for x
    x = 24,024,536,952.42/229,665.09
  6. Step 6: Final answer
    x = 104,606.83

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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.