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Finding the Fourth Proportional to 199,505.91, 299,255.90 and 92,830.13

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Solution

The fourth proportional to 199,505.91, 299,255.90 and 92,830.13 is: 139,243.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,505.91 : 299,255.90 = 92,830.13 : x
  2. Step 2: Convert to fraction form
    199,505.91/299,255.90 = 92,830.13/x
  3. Step 3: Cross multiply
    199,505.91x = 299,255.90 × 92,830.13
  4. Step 4: Simplify right side
    199,505.91x = 27,779,962,139.84
  5. Step 5: Solve for x
    x = 27,779,962,139.84/199,505.91
  6. Step 6: Final answer
    x = 139,243.81

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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.