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Finding the Fourth Proportional to 224,930.76, 337,562.25 and 106,602.45

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Solution

The fourth proportional to 224,930.76, 337,562.25 and 106,602.45 is: 159,982.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,930.76 : 337,562.25 = 106,602.45 : x
  2. Step 2: Convert to fraction form
    224,930.76/337,562.25 = 106,602.45/x
  3. Step 3: Cross multiply
    224,930.76x = 337,562.25 × 106,602.45
  4. Step 4: Simplify right side
    224,930.76x = 35,984,962,877.51
  5. Step 5: Solve for x
    x = 35,984,962,877.51/224,930.76
  6. Step 6: Final answer
    x = 159,982.40

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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.