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Finding the Fourth Proportional to 220,545, 304,356.96 and 119,943

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Solution

The fourth proportional to 220,545, 304,356.96 and 119,943 is: 165,523.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,545 : 304,356.96 = 119,943 : x
  2. Step 2: Convert to fraction form
    220,545/304,356.96 = 119,943/x
  3. Step 3: Cross multiply
    220,545x = 304,356.96 × 119,943
  4. Step 4: Simplify right side
    220,545x = 36,505,486,853.28
  5. Step 5: Solve for x
    x = 36,505,486,853.28/220,545
  6. Step 6: Final answer
    x = 165,523.98

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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.