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Finding the Fourth Proportional to 223,502.72, 335,113.92 and 83,145.92

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Solution

The fourth proportional to 223,502.72, 335,113.92 and 83,145.92 is: 124,666.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,502.72 : 335,113.92 = 83,145.92 : x
  2. Step 2: Convert to fraction form
    223,502.72/335,113.92 = 83,145.92/x
  3. Step 3: Cross multiply
    223,502.72x = 335,113.92 × 83,145.92
  4. Step 4: Simplify right side
    223,502.72x = 27,863,355,183.21
  5. Step 5: Solve for x
    x = 27,863,355,183.21/223,502.72
  6. Step 6: Final answer
    x = 124,666.74

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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.