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Finding the Fourth Proportional to 223,283.74, 335,209.92 and 144,726.70

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Solution

The fourth proportional to 223,283.74, 335,209.92 and 144,726.70 is: 217,274.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,283.74 : 335,209.92 = 144,726.70 : x
  2. Step 2: Convert to fraction form
    223,283.74/335,209.92 = 144,726.70/x
  3. Step 3: Cross multiply
    223,283.74x = 335,209.92 × 144,726.70
  4. Step 4: Simplify right side
    223,283.74x = 48,513,825,528.86
  5. Step 5: Solve for x
    x = 48,513,825,528.86/223,283.74
  6. Step 6: Final answer
    x = 217,274.33

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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.