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Finding the Fourth Proportional to 146,952, 202,810.80 and 82,439.04

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Solution

The fourth proportional to 146,952, 202,810.80 and 82,439.04 is: 113,775.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,952 : 202,810.80 = 82,439.04 : x
  2. Step 2: Convert to fraction form
    146,952/202,810.80 = 82,439.04/x
  3. Step 3: Cross multiply
    146,952x = 202,810.80 × 82,439.04
  4. Step 4: Simplify right side
    146,952x = 16,719,527,653.63
  5. Step 5: Solve for x
    x = 16,719,527,653.63/146,952
  6. Step 6: Final answer
    x = 113,775.43

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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.