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Finding the Fourth Proportional to 203,925.74, 305,992.49 and 144,337.28

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Solution

The fourth proportional to 203,925.74, 305,992.49 and 144,337.28 is: 216,579.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,925.74 : 305,992.49 = 144,337.28 : x
  2. Step 2: Convert to fraction form
    203,925.74/305,992.49 = 144,337.28/x
  3. Step 3: Cross multiply
    203,925.74x = 305,992.49 × 144,337.28
  4. Step 4: Simplify right side
    203,925.74x = 44,166,121,455.38
  5. Step 5: Solve for x
    x = 44,166,121,455.38/203,925.74
  6. Step 6: Final answer
    x = 216,579.44

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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.