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Finding the Fourth Proportional to 313,938.99, 470,897.89 and 136,446.01

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Solution

The fourth proportional to 313,938.99, 470,897.89 and 136,446.01 is: 204,664.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,938.99 : 470,897.89 = 136,446.01 : x
  2. Step 2: Convert to fraction form
    313,938.99/470,897.89 = 136,446.01/x
  3. Step 3: Cross multiply
    313,938.99x = 470,897.89 × 136,446.01
  4. Step 4: Simplify right side
    313,938.99x = 64,252,136,689.56
  5. Step 5: Solve for x
    x = 64,252,136,689.56/313,938.99
  6. Step 6: Final answer
    x = 204,664.41

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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.