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Finding the Fourth Proportional to 152,787.42, 210,843.46 and 84,800.41

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Solution

The fourth proportional to 152,787.42, 210,843.46 and 84,800.41 is: 117,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,787.42 : 210,843.46 = 84,800.41 : x
  2. Step 2: Convert to fraction form
    152,787.42/210,843.46 = 84,800.41/x
  3. Step 3: Cross multiply
    152,787.42x = 210,843.46 × 84,800.41
  4. Step 4: Simplify right side
    152,787.42x = 17,879,611,853.82
  5. Step 5: Solve for x
    x = 17,879,611,853.82/152,787.42
  6. Step 6: Final answer
    x = 117,022.80

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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.