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Finding the Fourth Proportional to 263,504.64, 363,642.24 and 156,072.96

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Solution

The fourth proportional to 263,504.64, 363,642.24 and 156,072.96 is: 215,384.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,504.64 : 363,642.24 = 156,072.96 : x
  2. Step 2: Convert to fraction form
    263,504.64/363,642.24 = 156,072.96/x
  3. Step 3: Cross multiply
    263,504.64x = 363,642.24 × 156,072.96
  4. Step 4: Simplify right side
    263,504.64x = 56,754,720,777.83
  5. Step 5: Solve for x
    x = 56,754,720,777.83/263,504.64
  6. Step 6: Final answer
    x = 215,384.14

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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.