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Finding the Fourth Proportional to 223,821.60, 335,732.40 and 124,288.80

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Solution

The fourth proportional to 223,821.60, 335,732.40 and 124,288.80 is: 186,433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,821.60 : 335,732.40 = 124,288.80 : x
  2. Step 2: Convert to fraction form
    223,821.60/335,732.40 = 124,288.80/x
  3. Step 3: Cross multiply
    223,821.60x = 335,732.40 × 124,288.80
  4. Step 4: Simplify right side
    223,821.60x = 41,727,777,117.12
  5. Step 5: Solve for x
    x = 41,727,777,117.12/223,821.60
  6. Step 6: Final answer
    x = 186,433.20

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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.