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Finding the Fourth Proportional to 203,143.94, 304,767.75 and 128,792.42

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Solution

The fourth proportional to 203,143.94, 304,767.75 and 128,792.42 is: 193,221.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,143.94 : 304,767.75 = 128,792.42 : x
  2. Step 2: Convert to fraction form
    203,143.94/304,767.75 = 128,792.42/x
  3. Step 3: Cross multiply
    203,143.94x = 304,767.75 × 128,792.42
  4. Step 4: Simplify right side
    203,143.94x = 39,251,776,060.46
  5. Step 5: Solve for x
    x = 39,251,776,060.46/203,143.94
  6. Step 6: Final answer
    x = 193,221.50

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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.