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Finding the Fourth Proportional to 265,903.70, 366,938.02 and 158,471.78

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Solution

The fourth proportional to 265,903.70, 366,938.02 and 158,471.78 is: 218,685.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,903.70 : 366,938.02 = 158,471.78 : x
  2. Step 2: Convert to fraction form
    265,903.70/366,938.02 = 158,471.78/x
  3. Step 3: Cross multiply
    265,903.70x = 366,938.02 × 158,471.78
  4. Step 4: Simplify right side
    265,903.70x = 58,149,321,700.24
  5. Step 5: Solve for x
    x = 58,149,321,700.24/265,903.70
  6. Step 6: Final answer
    x = 218,685.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.