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Finding the Fourth Proportional to 201,644.16, 302,493.92 and 68,488.67

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Solution

The fourth proportional to 201,644.16, 302,493.92 and 68,488.67 is: 102,742.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,644.16 : 302,493.92 = 68,488.67 : x
  2. Step 2: Convert to fraction form
    201,644.16/302,493.92 = 68,488.67/x
  3. Step 3: Cross multiply
    201,644.16x = 302,493.92 × 68,488.67
  4. Step 4: Simplify right side
    201,644.16x = 20,717,406,263.89
  5. Step 5: Solve for x
    x = 20,717,406,263.89/201,644.16
  6. Step 6: Final answer
    x = 102,742.41

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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.