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Finding the Fourth Proportional to 200,667.63, 301,017.83 and 100,776.45

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Solution

The fourth proportional to 200,667.63, 301,017.83 and 100,776.45 is: 151,172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,667.63 : 301,017.83 = 100,776.45 : x
  2. Step 2: Convert to fraction form
    200,667.63/301,017.83 = 100,776.45/x
  3. Step 3: Cross multiply
    200,667.63x = 301,017.83 × 100,776.45
  4. Step 4: Simplify right side
    200,667.63x = 30,335,508,920.68
  5. Step 5: Solve for x
    x = 30,335,508,920.68/200,667.63
  6. Step 6: Final answer
    x = 151,172.90

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1.5x scale

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.