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Finding the Fourth Proportional to 297,680, 446,403.36 and 120,153.92

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Solution

The fourth proportional to 297,680, 446,403.36 and 120,153.92 is: 180,183.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,680 : 446,403.36 = 120,153.92 : x
  2. Step 2: Convert to fraction form
    297,680/446,403.36 = 120,153.92/x
  3. Step 3: Cross multiply
    297,680x = 446,403.36 × 120,153.92
  4. Step 4: Simplify right side
    297,680x = 53,637,113,605.17
  5. Step 5: Solve for x
    x = 53,637,113,605.17/297,680
  6. Step 6: Final answer
    x = 180,183.80

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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.