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Finding the Fourth Proportional to 185,199.78, 277,803.76 and 128,217.54

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Solution

The fourth proportional to 185,199.78, 277,803.76 and 128,217.54 is: 192,329.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,199.78 : 277,803.76 = 128,217.54 : x
  2. Step 2: Convert to fraction form
    185,199.78/277,803.76 = 128,217.54/x
  3. Step 3: Cross multiply
    185,199.78x = 277,803.76 × 128,217.54
  4. Step 4: Simplify right side
    185,199.78x = 35,619,314,709.95
  5. Step 5: Solve for x
    x = 35,619,314,709.95/185,199.78
  6. Step 6: Final answer
    x = 192,329.14

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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.