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Finding the Fourth Proportional to 291,494, 437,241 and 81,137.41

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Solution

The fourth proportional to 291,494, 437,241 and 81,137.41 is: 121,706.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,494 : 437,241 = 81,137.41 : x
  2. Step 2: Convert to fraction form
    291,494/437,241 = 81,137.41/x
  3. Step 3: Cross multiply
    291,494x = 437,241 × 81,137.41
  4. Step 4: Simplify right side
    291,494x = 35,476,602,285.81
  5. Step 5: Solve for x
    x = 35,476,602,285.81/291,494
  6. Step 6: Final answer
    x = 121,706.12

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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.