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Finding the Fourth Proportional to 252,505.44, 378,502.20 and 163,815.48

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Solution

The fourth proportional to 252,505.44, 378,502.20 and 163,815.48 is: 245,557.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,505.44 : 378,502.20 = 163,815.48 : x
  2. Step 2: Convert to fraction form
    252,505.44/378,502.20 = 163,815.48/x
  3. Step 3: Cross multiply
    252,505.44x = 378,502.20 × 163,815.48
  4. Step 4: Simplify right side
    252,505.44x = 62,004,519,574.06
  5. Step 5: Solve for x
    x = 62,004,519,574.06/252,505.44
  6. Step 6: Final answer
    x = 245,557.16

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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.