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Finding the Fourth Proportional to 293,633.63, 405,207.51 and 171,118.16

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Solution

The fourth proportional to 293,633.63, 405,207.51 and 171,118.16 is: 236,139.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,633.63 : 405,207.51 = 171,118.16 : x
  2. Step 2: Convert to fraction form
    293,633.63/405,207.51 = 171,118.16/x
  3. Step 3: Cross multiply
    293,633.63x = 405,207.51 × 171,118.16
  4. Step 4: Simplify right side
    293,633.63x = 69,338,363,529.38
  5. Step 5: Solve for x
    x = 69,338,363,529.38/293,633.63
  6. Step 6: Final answer
    x = 236,139.04

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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.