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Finding the Fourth Proportional to 229,136.20, 343,013.10 and 201,488.20

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Solution

The fourth proportional to 229,136.20, 343,013.10 and 201,488.20 is: 301,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,136.20 : 343,013.10 = 201,488.20 : x
  2. Step 2: Convert to fraction form
    229,136.20/343,013.10 = 201,488.20/x
  3. Step 3: Cross multiply
    229,136.20x = 343,013.10 × 201,488.20
  4. Step 4: Simplify right side
    229,136.20x = 69,113,092,095.42
  5. Step 5: Solve for x
    x = 69,113,092,095.42/229,136.20
  6. Step 6: Final answer
    x = 301,624.50

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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.