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Finding the Fourth Proportional to 204,907.53, 307,416.02 and 64,668.81

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Solution

The fourth proportional to 204,907.53, 307,416.02 and 64,668.81 is: 97,020.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,907.53 : 307,416.02 = 64,668.81 : x
  2. Step 2: Convert to fraction form
    204,907.53/307,416.02 = 64,668.81/x
  3. Step 3: Cross multiply
    204,907.53x = 307,416.02 × 64,668.81
  4. Step 4: Simplify right side
    204,907.53x = 19,880,227,864.99
  5. Step 5: Solve for x
    x = 19,880,227,864.99/204,907.53
  6. Step 6: Final answer
    x = 97,020.48

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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.