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Finding the Fourth Proportional to 514,553.61, 771,760.36 and 135,442.61

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Solution

The fourth proportional to 514,553.61, 771,760.36 and 135,442.61 is: 203,145.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,553.61 : 771,760.36 = 135,442.61 : x
  2. Step 2: Convert to fraction form
    514,553.61/771,760.36 = 135,442.61/x
  3. Step 3: Cross multiply
    514,553.61x = 771,760.36 × 135,442.61
  4. Step 4: Simplify right side
    514,553.61x = 104,529,237,452.94
  5. Step 5: Solve for x
    x = 104,529,237,452.94/514,553.61
  6. Step 6: Final answer
    x = 203,145.47

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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.