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Finding the Fourth Proportional to 284,155.44, 426,094.92 and 151,099.44

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Solution

The fourth proportional to 284,155.44, 426,094.92 and 151,099.44 is: 226,575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,155.44 : 426,094.92 = 151,099.44 : x
  2. Step 2: Convert to fraction form
    284,155.44/426,094.92 = 151,099.44/x
  3. Step 3: Cross multiply
    284,155.44x = 426,094.92 × 151,099.44
  4. Step 4: Simplify right side
    284,155.44x = 64,382,703,798.84
  5. Step 5: Solve for x
    x = 64,382,703,798.84/284,155.44
  6. Step 6: Final answer
    x = 226,575.65

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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.