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Finding the Fourth Proportional to 202,274.46, 303,444.50 and 75,924.59

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Solution

The fourth proportional to 202,274.46, 303,444.50 and 75,924.59 is: 113,899.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,274.46 : 303,444.50 = 75,924.59 : x
  2. Step 2: Convert to fraction form
    202,274.46/303,444.50 = 75,924.59/x
  3. Step 3: Cross multiply
    202,274.46x = 303,444.50 × 75,924.59
  4. Step 4: Simplify right side
    202,274.46x = 23,038,897,353.41
  5. Step 5: Solve for x
    x = 23,038,897,353.41/202,274.46
  6. Step 6: Final answer
    x = 113,899.19

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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.