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Finding the Fourth Proportional to 342,996.54, 514,494.82 and 143,208.16

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Solution

The fourth proportional to 342,996.54, 514,494.82 and 143,208.16 is: 214,812.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,996.54 : 514,494.82 = 143,208.16 : x
  2. Step 2: Convert to fraction form
    342,996.54/514,494.82 = 143,208.16/x
  3. Step 3: Cross multiply
    342,996.54x = 514,494.82 × 143,208.16
  4. Step 4: Simplify right side
    342,996.54x = 73,679,856,501.73
  5. Step 5: Solve for x
    x = 73,679,856,501.73/342,996.54
  6. Step 6: Final answer
    x = 214,812.24

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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.