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Finding the Fourth Proportional to 223,613.92, 335,576.40 and 144,532

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Solution

The fourth proportional to 223,613.92, 335,576.40 and 144,532 is: 216,898.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,613.92 : 335,576.40 = 144,532 : x
  2. Step 2: Convert to fraction form
    223,613.92/335,576.40 = 144,532/x
  3. Step 3: Cross multiply
    223,613.92x = 335,576.40 × 144,532
  4. Step 4: Simplify right side
    223,613.92x = 48,501,528,244.80
  5. Step 5: Solve for x
    x = 48,501,528,244.80/223,613.92
  6. Step 6: Final answer
    x = 216,898.52

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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.