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Finding the Fourth Proportional to 224,338.14, 336,504.78 and 129,710.70

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Solution

The fourth proportional to 224,338.14, 336,504.78 and 129,710.70 is: 194,564.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,338.14 : 336,504.78 = 129,710.70 : x
  2. Step 2: Convert to fraction form
    224,338.14/336,504.78 = 129,710.70/x
  3. Step 3: Cross multiply
    224,338.14x = 336,504.78 × 129,710.70
  4. Step 4: Simplify right side
    224,338.14x = 43,648,270,567.15
  5. Step 5: Solve for x
    x = 43,648,270,567.15/224,338.14
  6. Step 6: Final answer
    x = 194,564.64

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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.