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Finding the Fourth Proportional to 102,304.20, 153,463.86 and 27,424.20

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Solution

The fourth proportional to 102,304.20, 153,463.86 and 27,424.20 is: 41,138.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,304.20 : 153,463.86 = 27,424.20 : x
  2. Step 2: Convert to fraction form
    102,304.20/153,463.86 = 27,424.20/x
  3. Step 3: Cross multiply
    102,304.20x = 153,463.86 × 27,424.20
  4. Step 4: Simplify right side
    102,304.20x = 4,208,623,589.41
  5. Step 5: Solve for x
    x = 4,208,623,589.41/102,304.20
  6. Step 6: Final answer
    x = 41,138.33

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1.5x scale

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.