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Finding the Fourth Proportional to 202,051.62, 303,166.83 and 105,965.91

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Solution

The fourth proportional to 202,051.62, 303,166.83 and 105,965.91 is: 158,995.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,051.62 : 303,166.83 = 105,965.91 : x
  2. Step 2: Convert to fraction form
    202,051.62/303,166.83 = 105,965.91/x
  3. Step 3: Cross multiply
    202,051.62x = 303,166.83 × 105,965.91
  4. Step 4: Simplify right side
    202,051.62x = 32,125,349,022.77
  5. Step 5: Solve for x
    x = 32,125,349,022.77/202,051.62
  6. Step 6: Final answer
    x = 158,995.75

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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.