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Finding the Fourth Proportional to 200,933.90, 301,698.45 and 112,364.30

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Solution

The fourth proportional to 200,933.90, 301,698.45 and 112,364.30 is: 168,712.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,933.90 : 301,698.45 = 112,364.30 : x
  2. Step 2: Convert to fraction form
    200,933.90/301,698.45 = 112,364.30/x
  3. Step 3: Cross multiply
    200,933.90x = 301,698.45 × 112,364.30
  4. Step 4: Simplify right side
    200,933.90x = 33,900,135,145.34
  5. Step 5: Solve for x
    x = 33,900,135,145.34/200,933.90
  6. Step 6: Final answer
    x = 168,712.87

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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.