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Finding the Fourth Proportional to 316,849.38, 475,274.06 and 106,487.31

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Solution

The fourth proportional to 316,849.38, 475,274.06 and 106,487.31 is: 159,730.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,849.38 : 475,274.06 = 106,487.31 : x
  2. Step 2: Convert to fraction form
    316,849.38/475,274.06 = 106,487.31/x
  3. Step 3: Cross multiply
    316,849.38x = 475,274.06 × 106,487.31
  4. Step 4: Simplify right side
    316,849.38x = 50,610,656,162.18
  5. Step 5: Solve for x
    x = 50,610,656,162.18/316,849.38
  6. Step 6: Final answer
    x = 159,730.96

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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.