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Finding the Fourth Proportional to 263,304, 363,359.76 and 144,072

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Solution

The fourth proportional to 263,304, 363,359.76 and 144,072 is: 198,819.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,304 : 363,359.76 = 144,072 : x
  2. Step 2: Convert to fraction form
    263,304/363,359.76 = 144,072/x
  3. Step 3: Cross multiply
    263,304x = 363,359.76 × 144,072
  4. Step 4: Simplify right side
    263,304x = 52,349,967,342.72
  5. Step 5: Solve for x
    x = 52,349,967,342.72/263,304
  6. Step 6: Final answer
    x = 198,819.49

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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.