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Finding the Fourth Proportional to 273,408.40, 377,151.96 and 160,209.28

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Solution

The fourth proportional to 273,408.40, 377,151.96 and 160,209.28 is: 220,999.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,408.40 : 377,151.96 = 160,209.28 : x
  2. Step 2: Convert to fraction form
    273,408.40/377,151.96 = 160,209.28/x
  3. Step 3: Cross multiply
    273,408.40x = 377,151.96 × 160,209.28
  4. Step 4: Simplify right side
    273,408.40x = 60,423,243,962.19
  5. Step 5: Solve for x
    x = 60,423,243,962.19/273,408.40
  6. Step 6: Final answer
    x = 220,999.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.