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Finding the Fourth Proportional to 224,178.84, 335,894.49 and 184,320.77

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Solution

The fourth proportional to 224,178.84, 335,894.49 and 184,320.77 is: 276,173.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,178.84 : 335,894.49 = 184,320.77 : x
  2. Step 2: Convert to fraction form
    224,178.84/335,894.49 = 184,320.77/x
  3. Step 3: Cross multiply
    224,178.84x = 335,894.49 × 184,320.77
  4. Step 4: Simplify right side
    224,178.84x = 61,912,329,356.08
  5. Step 5: Solve for x
    x = 61,912,329,356.08/224,178.84
  6. Step 6: Final answer
    x = 276,173.83

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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.