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Finding the Fourth Proportional to 201,682.55, 302,523.83 and 201,682.55

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Solution

The fourth proportional to 201,682.55, 302,523.83 and 201,682.55 is: 302,523.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,682.55 : 302,523.83 = 201,682.55 : x
  2. Step 2: Convert to fraction form
    201,682.55/302,523.83 = 201,682.55/x
  3. Step 3: Cross multiply
    201,682.55x = 302,523.83 × 201,682.55
  4. Step 4: Simplify right side
    201,682.55x = 61,013,776,461.75
  5. Step 5: Solve for x
    x = 61,013,776,461.75/201,682.55
  6. Step 6: Final answer
    x = 302,523.83

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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.