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Finding the Fourth Proportional to 235,126.48, 353,960.92 and 214,201

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Solution

The fourth proportional to 235,126.48, 353,960.92 and 214,201 is: 322,459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,126.48 : 353,960.92 = 214,201 : x
  2. Step 2: Convert to fraction form
    235,126.48/353,960.92 = 214,201/x
  3. Step 3: Cross multiply
    235,126.48x = 353,960.92 × 214,201
  4. Step 4: Simplify right side
    235,126.48x = 75,818,783,024.92
  5. Step 5: Solve for x
    x = 75,818,783,024.92/235,126.48
  6. Step 6: Final answer
    x = 322,459.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.