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Finding the Fourth Proportional to 199,506.54, 299,256.83 and 92,830.75

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Solution

The fourth proportional to 199,506.54, 299,256.83 and 92,830.75 is: 139,244.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,506.54 : 299,256.83 = 92,830.75 : x
  2. Step 2: Convert to fraction form
    199,506.54/299,256.83 = 92,830.75/x
  3. Step 3: Cross multiply
    199,506.54x = 299,256.83 × 92,830.75
  4. Step 4: Simplify right side
    199,506.54x = 27,780,235,971.52
  5. Step 5: Solve for x
    x = 27,780,235,971.52/199,506.54
  6. Step 6: Final answer
    x = 139,244.74

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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.