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Finding the Fourth Proportional to 208,697.01, 313,043.09 and 144,596.04

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Solution

The fourth proportional to 208,697.01, 313,043.09 and 144,596.04 is: 216,892.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,697.01 : 313,043.09 = 144,596.04 : x
  2. Step 2: Convert to fraction form
    208,697.01/313,043.09 = 144,596.04/x
  3. Step 3: Cross multiply
    208,697.01x = 313,043.09 × 144,596.04
  4. Step 4: Simplify right side
    208,697.01x = 45,264,790,440.38
  5. Step 5: Solve for x
    x = 45,264,790,440.38/208,697.01
  6. Step 6: Final answer
    x = 216,892.38

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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.