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Finding the Fourth Proportional to 351,513, 527,359.41 and 102,195

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Solution

The fourth proportional to 351,513, 527,359.41 and 102,195 is: 153,318.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,513 : 527,359.41 = 102,195 : x
  2. Step 2: Convert to fraction form
    351,513/527,359.41 = 102,195/x
  3. Step 3: Cross multiply
    351,513x = 527,359.41 × 102,195
  4. Step 4: Simplify right side
    351,513x = 53,893,494,904.95
  5. Step 5: Solve for x
    x = 53,893,494,904.95/351,513
  6. Step 6: Final answer
    x = 153,318.64

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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.