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Finding the Fourth Proportional to 74,136.40, 110,941.96 and 65,388.40

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Solution

The fourth proportional to 74,136.40, 110,941.96 and 65,388.40 is: 97,850.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,136.40 : 110,941.96 = 65,388.40 : x
  2. Step 2: Convert to fraction form
    74,136.40/110,941.96 = 65,388.40/x
  3. Step 3: Cross multiply
    74,136.40x = 110,941.96 × 65,388.40
  4. Step 4: Simplify right side
    74,136.40x = 7,254,317,257.26
  5. Step 5: Solve for x
    x = 7,254,317,257.26/74,136.40
  6. Step 6: Final answer
    x = 97,850.95

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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.