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Finding the Fourth Proportional to 223,573.71, 335,361.29 and 140,292.75

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Solution

The fourth proportional to 223,573.71, 335,361.29 and 140,292.75 is: 210,439.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,573.71 : 335,361.29 = 140,292.75 : x
  2. Step 2: Convert to fraction form
    223,573.71/335,361.29 = 140,292.75/x
  3. Step 3: Cross multiply
    223,573.71x = 335,361.29 × 140,292.75
  4. Step 4: Simplify right side
    223,573.71x = 47,048,756,916.18
  5. Step 5: Solve for x
    x = 47,048,756,916.18/223,573.71
  6. Step 6: Final answer
    x = 210,439.58

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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.