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Finding the Fourth Proportional to 163,644.63, 225,832.32 and 107,056

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Solution

The fourth proportional to 163,644.63, 225,832.32 and 107,056 is: 147,739.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,644.63 : 225,832.32 = 107,056 : x
  2. Step 2: Convert to fraction form
    163,644.63/225,832.32 = 107,056/x
  3. Step 3: Cross multiply
    163,644.63x = 225,832.32 × 107,056
  4. Step 4: Simplify right side
    163,644.63x = 24,176,704,849.92
  5. Step 5: Solve for x
    x = 24,176,704,849.92/163,644.63
  6. Step 6: Final answer
    x = 147,739.07

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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.