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Finding the Fourth Proportional to 223,633.92, 335,606.40 and 144,552

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Solution

The fourth proportional to 223,633.92, 335,606.40 and 144,552 is: 216,928.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,633.92 : 335,606.40 = 144,552 : x
  2. Step 2: Convert to fraction form
    223,633.92/335,606.40 = 144,552/x
  3. Step 3: Cross multiply
    223,633.92x = 335,606.40 × 144,552
  4. Step 4: Simplify right side
    223,633.92x = 48,512,576,332.80
  5. Step 5: Solve for x
    x = 48,512,576,332.80/223,633.92
  6. Step 6: Final answer
    x = 216,928.52

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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.