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Finding the Fourth Proportional to 229,516.44, 344,274.72 and 71,746.32

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Solution

The fourth proportional to 229,516.44, 344,274.72 and 71,746.32 is: 107,619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,516.44 : 344,274.72 = 71,746.32 : x
  2. Step 2: Convert to fraction form
    229,516.44/344,274.72 = 71,746.32/x
  3. Step 3: Cross multiply
    229,516.44x = 344,274.72 × 71,746.32
  4. Step 4: Simplify right side
    229,516.44x = 24,700,444,229.03
  5. Step 5: Solve for x
    x = 24,700,444,229.03/229,516.44
  6. Step 6: Final answer
    x = 107,619.50

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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.