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Finding the Fourth Proportional to 133,692.81, 200,404.27 and 83,807.93

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Solution

The fourth proportional to 133,692.81, 200,404.27 and 83,807.93 is: 125,627.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,692.81 : 200,404.27 = 83,807.93 : x
  2. Step 2: Convert to fraction form
    133,692.81/200,404.27 = 83,807.93/x
  3. Step 3: Cross multiply
    133,692.81x = 200,404.27 × 83,807.93
  4. Step 4: Simplify right side
    133,692.81x = 16,795,467,647.87
  5. Step 5: Solve for x
    x = 16,795,467,647.87/133,692.81
  6. Step 6: Final answer
    x = 125,627.31

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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.