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Finding the Fourth Proportional to 223,816.92, 335,425.92 and 109,790.40

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Solution

The fourth proportional to 223,816.92, 335,425.92 and 109,790.40 is: 164,538.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,816.92 : 335,425.92 = 109,790.40 : x
  2. Step 2: Convert to fraction form
    223,816.92/335,425.92 = 109,790.40/x
  3. Step 3: Cross multiply
    223,816.92x = 335,425.92 × 109,790.40
  4. Step 4: Simplify right side
    223,816.92x = 36,826,545,927.17
  5. Step 5: Solve for x
    x = 36,826,545,927.17/223,816.92
  6. Step 6: Final answer
    x = 164,538.70

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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.