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Finding the Fourth Proportional to 201,077.90, 301,616.85 and 82,709.90

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Solution

The fourth proportional to 201,077.90, 301,616.85 and 82,709.90 is: 124,064.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,077.90 : 301,616.85 = 82,709.90 : x
  2. Step 2: Convert to fraction form
    201,077.90/301,616.85 = 82,709.90/x
  3. Step 3: Cross multiply
    201,077.90x = 301,616.85 × 82,709.90
  4. Step 4: Simplify right side
    201,077.90x = 24,946,699,501.82
  5. Step 5: Solve for x
    x = 24,946,699,501.82/201,077.90
  6. Step 6: Final answer
    x = 124,064.85

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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.