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Finding the Fourth Proportional to 200,596.87, 301,162.56 and 116,417.46

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Solution

The fourth proportional to 200,596.87, 301,162.56 and 116,417.46 is: 174,781.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,596.87 : 301,162.56 = 116,417.46 : x
  2. Step 2: Convert to fraction form
    200,596.87/301,162.56 = 116,417.46/x
  3. Step 3: Cross multiply
    200,596.87x = 301,162.56 × 116,417.46
  4. Step 4: Simplify right side
    200,596.87x = 35,060,580,282.30
  5. Step 5: Solve for x
    x = 35,060,580,282.30/200,596.87
  6. Step 6: Final answer
    x = 174,781.29

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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.