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Finding the Fourth Proportional to 224,477.40, 336,716.10 and 140,496.60

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Solution

The fourth proportional to 224,477.40, 336,716.10 and 140,496.60 is: 210,744.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,477.40 : 336,716.10 = 140,496.60 : x
  2. Step 2: Convert to fraction form
    224,477.40/336,716.10 = 140,496.60/x
  3. Step 3: Cross multiply
    224,477.40x = 336,716.10 × 140,496.60
  4. Step 4: Simplify right side
    224,477.40x = 47,307,467,215.26
  5. Step 5: Solve for x
    x = 47,307,467,215.26/224,477.40
  6. Step 6: Final answer
    x = 210,744.90

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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.