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Finding the Fourth Proportional to 405,901.20, 608,938.20 and 125,446.80

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Solution

The fourth proportional to 405,901.20, 608,938.20 and 125,446.80 is: 188,196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,901.20 : 608,938.20 = 125,446.80 : x
  2. Step 2: Convert to fraction form
    405,901.20/608,938.20 = 125,446.80/x
  3. Step 3: Cross multiply
    405,901.20x = 608,938.20 × 125,446.80
  4. Step 4: Simplify right side
    405,901.20x = 76,389,348,587.76
  5. Step 5: Solve for x
    x = 76,389,348,587.76/405,901.20
  6. Step 6: Final answer
    x = 188,196.90

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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.