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Finding the Fourth Proportional to 201,898.67, 302,459.90 and 112,882.22

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Solution

The fourth proportional to 201,898.67, 302,459.90 and 112,882.22 is: 169,106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,898.67 : 302,459.90 = 112,882.22 : x
  2. Step 2: Convert to fraction form
    201,898.67/302,459.90 = 112,882.22/x
  3. Step 3: Cross multiply
    201,898.67x = 302,459.90 × 112,882.22
  4. Step 4: Simplify right side
    201,898.67x = 34,142,344,972.98
  5. Step 5: Solve for x
    x = 34,142,344,972.98/201,898.67
  6. Step 6: Final answer
    x = 169,106.34

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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.