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Finding the Fourth Proportional to 224,958.40, 337,567.20 and 84,817.60

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Solution

The fourth proportional to 224,958.40, 337,567.20 and 84,817.60 is: 127,275.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,958.40 : 337,567.20 = 84,817.60 : x
  2. Step 2: Convert to fraction form
    224,958.40/337,567.20 = 84,817.60/x
  3. Step 3: Cross multiply
    224,958.40x = 337,567.20 × 84,817.60
  4. Step 4: Simplify right side
    224,958.40x = 28,631,639,742.72
  5. Step 5: Solve for x
    x = 28,631,639,742.72/224,958.40
  6. Step 6: Final answer
    x = 127,275.26

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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.