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Finding the Fourth Proportional to 351,932, 527,986.02 and 102,614

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Solution

The fourth proportional to 351,932, 527,986.02 and 102,614 is: 153,946.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,932 : 527,986.02 = 102,614 : x
  2. Step 2: Convert to fraction form
    351,932/527,986.02 = 102,614/x
  3. Step 3: Cross multiply
    351,932x = 527,986.02 × 102,614
  4. Step 4: Simplify right side
    351,932x = 54,178,757,456.28
  5. Step 5: Solve for x
    x = 54,178,757,456.28/351,932
  6. Step 6: Final answer
    x = 153,946.66

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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.