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Finding the Fourth Proportional to 494,097.02, 741,189.30 and 139,114.12

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Solution

The fourth proportional to 494,097.02, 741,189.30 and 139,114.12 is: 208,683.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,097.02 : 741,189.30 = 139,114.12 : x
  2. Step 2: Convert to fraction form
    494,097.02/741,189.30 = 139,114.12/x
  3. Step 3: Cross multiply
    494,097.02x = 741,189.30 × 139,114.12
  4. Step 4: Simplify right side
    494,097.02x = 103,109,897,222.92
  5. Step 5: Solve for x
    x = 103,109,897,222.92/494,097.02
  6. Step 6: Final answer
    x = 208,683.50

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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.