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Finding the Fourth Proportional to 202,562.64, 279,614.16 and 181,303.92

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Solution

The fourth proportional to 202,562.64, 279,614.16 and 181,303.92 is: 250,268.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,562.64 : 279,614.16 = 181,303.92 : x
  2. Step 2: Convert to fraction form
    202,562.64/279,614.16 = 181,303.92/x
  3. Step 3: Cross multiply
    202,562.64x = 279,614.16 × 181,303.92
  4. Step 4: Simplify right side
    202,562.64x = 50,695,143,295.51
  5. Step 5: Solve for x
    x = 50,695,143,295.51/202,562.64
  6. Step 6: Final answer
    x = 250,268.97

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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.