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Finding the Fourth Proportional to 342,876.84, 514,397.34 and 143,086.08

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Solution

The fourth proportional to 342,876.84, 514,397.34 and 143,086.08 is: 214,663.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,876.84 : 514,397.34 = 143,086.08 : x
  2. Step 2: Convert to fraction form
    342,876.84/514,397.34 = 143,086.08/x
  3. Step 3: Cross multiply
    342,876.84x = 514,397.34 × 143,086.08
  4. Step 4: Simplify right side
    342,876.84x = 73,603,098,943.03
  5. Step 5: Solve for x
    x = 73,603,098,943.03/342,876.84
  6. Step 6: Final answer
    x = 214,663.37

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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.